Exhibit 23.1
CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM
We consent to the incorporation by reference in this Registration Statement of
Rocket Pharmaceuticals, Inc. on Form S-3 to be filed on or about March 2, 2026 of our report dated February
26, 2026, on our audit of the financial statements as of December 31, 2025 and 2024 and for each of the years then ended, which report was
included in the Annual Report on Form 10-K filed on February 26, 2026. We also consent to the reference to our firm under the caption “Experts”
in this Registration Statement.
/s/ EisnerAmper LLP
EISNERAMPER LLP
Iselin, New Jersey
March 2, 2026