[8][9] Following the season, Criswell was selected by the Oakland Athletics in the second round (58th overall) of the 2020 Major League Baseball draft.
[17] He missed nearly four months before being activated in late August; he pitched a total of 12 innings during the season in which he gave up six earned runs and four walks while striking out 12.
[27] He made his debut later that day against the Washington Nationals, pitching a scoreless bottom of the seventh inning with no strikeouts, no walks and one hit given up to Keibert Ruiz in an eventual 6–1 loss.
[28] On August 25, 2024, in Criswell's third career appearance, he came in to face the New York Yankees in the bottom of the seventh inning.
After retiring Gleyber Torres on a ground ball to second, Criswell surrendered back-to-back-to-back home runs to Juan Soto, Aaron Judge and Giancarlo Stanton before Jazz Chisholm Jr. grounded out to Criswell and Anthony Volpe struck out.