Exhibit 23.1 CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM We consent to the incorporation by reference in Registration Statement Nos. 333-207315, 333-210417, 333-220396, 333-223927, 333-230248, 333- 233587, 333-237418, and 333-249199 on Form S-8 of our reports dated March 24, 2021, relating to the consolidated financial statements of Pure Storage, Inc. and subsidiaries (the “Company”), and the effectiveness of the Company’s internal control over financial reporting, appearing in this Annual Report on Form 10-K for the year ended January 31, 2021. /S/ DELOITTE & TOUCHE LLP San Jose, California March 24, 2021