The open tryout is set for 3 p.m., Sept. 5 at Bailey-Brayton Field.
Block was a 17th-round draft pick by the Tigers but will return to WSU.
Bergeron helped take two programs to Omaha.
All three assistants helped lead NMSU to a WAC regular season title last season.
Three Cougs and three signees were selected in the 2019 MLB Draft.
Green was introduced as the 17th head coach in program history.