Cochran, who just finished his junior season, started 23 games and played in 30 in three seasons with the Longhorns.
He started Texas' first three games at right tackle in 2013 before aggravating a shoulder issue. That injury caused him to miss seven games, and Cochran lost enough weight to prompt a move to tight end.
Cochran thanked Texas and his family in a Twitter post Friday night.
Just want to thank my friends, family, and Longhorn Nation for all the support during my football career!! pic.twitter.com/X8DHTABTRj
— Josh Cochran (@joshcochran78) January 11, 2014
Cochran started at left tackle as a true freshman before moving to the right side. He had started 19 consecutive games before the shoulder injury. With seniors Trey Hopkins, Donald Hawkins and Mason Walters set to graduate, Texas will begin 2014 without four of its opening day starters from this season.
Texas also announced Friday that four players have undergone postseason surgeries.
Linebackers Dalton Santos and Timothy Cole had hip procedures and are expected to return in time for spring practice. Receiver Bryant Jackson (foot) and defensive tackle Paul Boyette (shoulder) will miss spring practice and return in the summer.