Joe Judge just got a HUGE endorsement ... Giants legend Justin Tuck says he's a fan of NY's new head coaching hire -- telling TMZ Sports, "I like the pick!"
Of course, it's great news for Big Blue's new boss ... a lot of NY fans were upset over the hire after he looked to be the Giants' backup option when Matt Rhule bolted for Carolina.
But, Tuck clearly seems to like the promise of the 38-year-old regardless ... even making a joke about how Joe will share the city's spotlight with Yankees superstar Aaron Judge!