Specimen Unit Certificate

Exhibit 4.1

APOLLO STRATEGIC GROWTH CAPITAL III

UNITS CONSISTING OF ONE CLASS A ORDINARY SHARE AND
ONE-THIRD OF ONE REDEEMABLE WARRANT, EACH WHOLE WARRANT ENTITLING THE HOLDER TO PURCHASE ONE CLASS A ORDINARY SHARE

THIS CERTIFIES THAT                  is the owner of Units.

Each Unit (“Unit”) consists of one (1) Class A ordinary share, par value $0.0001 per share (an “Ordinary Share”), of Apollo Strategic Growth Capital III, a Cayman Islands exempted company incorporated with limited liability (the “Company”), and one-third (1/3) of one redeemable warrant (each whole warrant exercisable for one Ordinary Share, a “Warrant”). Each whole Warrant entitles the holder to purchase one (1) Ordinary Share (subject to adjustment) for $11.50 per share (subject to adjustment). Only whole Warrants are exercisable. Each whole Warrant will become exercisable on the later of (i) thirty (30) days after the Company’s completion of a merger, consolidation, share exchange, asset acquisition, share purchase, reorganization or other similar business combination with one or more businesses (each, a “Business Combination”), or (ii) twelve (12) months from the closing of the Company’s initial public offering, and will expire unless exercised before 5:00 p.m., New York City Time, on the date that is five (5) years after the date on which the Company completes its initial Business Combination, or earlier upon redemption or liquidation (“Expiration Date”). The Ordinary Shares and Warrants comprising the Units represented by this certificate are not transferable separately prior [___], 2022, unless [_________] elects to allow earlier separate trading, subject to the Company’s filing of a Current Report on Form 8-K with the Securities and Exchange Commission containing an audited balance sheet reflecting the Company’s receipt of the gross proceeds of the Company’s initial public offering and issuing a press release announcing when separate trading will begin. No fractional Warrants will be issued upon separation of the Units and only whole Warrants will trade. The terms of the Warrants are governed by a Warrant Agreement, dated as of [___], 2022, between the Company and Continental Stock Transfer & Trust Company, as Warrant Agent, and are subject to the terms and provisions contained therein, all of which terms and provisions the holder of this certificate consents to by acceptance hereof. Copies of the Warrant Agreement are on file at the office of the Warrant Agent at One State Street, 30^th Floor, New York, New York 10014, and are available to any Warrant holder on written request and without cost.

Upon the consummation of the Company’s initial Business Combination, the Units represented by this certificate will automatically separate into the Ordinary Shares and Warrants comprising such Units.

This certificate is not valid unless countersigned by the Transfer Agent and registered by the Registrar of the Company.

This certificate shall be governed by and construed in accordance with the internal laws of the State of New York.

Witness the facsimile signature of its duly authorized officers.

Apollo Strategic Growth Capital III

The Company will furnish without charge to each unitholder who so requests, a statement of the powers, designations, preferences and relative, participating, optional or other special rights of each class of shares or series thereof of the Company and the qualifications, limitations, or restrictions of such preferences and/or rights.

The following abbreviations, when used in the inscription on the face of this certificate, shall be construed as though they were written out in full according to applicable laws or regulations:

 Additional abbreviations may also be used though not in the above list.

For value received, hereby sell, assign and transfer unto

PLEASE INSERT SOCIAL SECURITY OR

OTHER

IDENTIFYING NUMBER OF ASSIGNEE

Units represented by the within Certificate, and do hereby irrevocably constitute and appoint Attorney to transfer the said Units on the books of the within named Company with full power of substitution in the premises.

In each case, as more fully described in the Company’s final prospectus dated [___], 2022, the holder(s) of the Company’s Class A ordinary shares shall be entitled to receive a pro-rata portion of certain funds held in the trust account established in connection with the Company’s initial public offering only in the event that (i) the Company redeems the Class A ordinary shares sold in its initial public offering and liquidates because it does not consummate an initial business combination by [___], 2023 (or such later date if such period is extended pursuant to the Company’s amended and restated memorandum and articles of association as in effect at such time), (ii) the Company redeems the Class A ordinary shares sold in its initial public offering in connection with a shareholder vote to approve an amendment to the Company’s amended and restated memorandum and articles of association that would affect the substance or timing of the Company’s obligation to redeem 100% of the Class A ordinary shares if it does not consummate an initial business combination by [___], 2023 (or such later date if such period is extended pursuant to the Company’s amended and restated memorandum and articles of association as in effect at such time) or with respect to any other material provisions relating to shareholders’ rights or pre-initial business combination activity, or (iii) if the holder(s) seek(s) to redeem for cash his, her or its respective Class A ordinary shares in connection with a tender offer (or proxy solicitation, solely in the event the Company seeks shareholder approval of the proposed initial business combination) setting forth the details of a proposed initial business combination. In no other circumstances shall the holder(s) have any right or interest of any kind in or to the trust account.