Wright, a four-time All-American, wrestled at Penn State from 2008 to 2013 and posted a 116-23 record.
Nickal won his bout against Zachary Borrego with a rear naked choke 1:02 into the first round.
The terms of the contract have not been released.
With a UFC roster spot possibly at stake, Nickal will fight Zachary Borrego on August 9.
The Penn State wrestling legend knocked out his opponent, John Noland, in 33 seconds.
Kasak boasts an impressive 79-3 record at Bethlehem Catholic High School.