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
Pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, Thomas B. Pickens III, the Chief Executive Officer, and Jaime Hinojosa, the Chief Financial Officer, of Astrotech Corporation (the “Company”), hereby certify, that, to their knowledge:
| 1. | The Quarterly Report on Form 10-Q for the period ended September 30, 2023 (the “Report”) of the Company fully complies with the requirements of Section 13(a) or 15 (d) of the Securities Exchange Act of 1934; and | 
| 2. | The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company. | 
| Date: November 13, 2023 | |
| /s/ Thomas B. Pickens III | |
| Thomas B. Pickens III | |
| Chief Executive Officer, Chief Technology Officer, and Chairman of the Board (Principal Executive Officer) | |
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| /s/ Jaime Hinojosa | |
| Jaime Hinojosa | |
| Chief Financial Officer, Treasurer and Secretary (Principal Financial Officer) |