Strozier was selected by the Denver Broncos in the seventh round of the 1987 NFL draft.[4] He was waived by the Broncos towards the end of preseason, but signed by the Seattle Seahawks a week later.[5] He saw action in all 12 non-strike games for the Seahawks.[6]
Strozier spent the 1988 offseason with the Seahawks, but again was waived late in preseason.[7] He signed with the San Diego Chargers prior to week 7, and was with them for 6 games, but was released after week 12.[8]
Strozier made one final effort in the NFL, with the Cleveland Browns in 1989. He was placed on the injured reserve list near the end of preseason, and was released when healthy.[9]