Exhibit 32.1
CERTIFICATION PURSUANT TO
18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO
SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002
In connection with the Annual Report on Form 10-K of Shoulder Innovations, Inc. (the “Company”) for the period ended December 31, 2025 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that:
(1) The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and
(2) The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

|  | SHOULDER INNOVATIONS, INC.
Date: | March 10, 2026 | By: | /s/ Robert Ball
|  |  | Robert Ball
|  |  | Chief Executive Officer and Executive Chairman
|  |  | (Principal Executive Officer)