Critchley signed a two-year contract extension with Derbyshire in July 2020.[3] In October 2021 it was announced that Critchley had joined Essex on a three-year deal for an undisclosed fee.[4] In April 2022, he was bought by the Welsh Fire for the 2022 season of The Hundred.[5] In 2023, Critchley played six games for the Melbourne Renegades in the 2022-23 Big Bash. He was then drafted into London Spirit to play for them in The 3rd Series of The Hundred 2023.