The defender, who left Selhurst Park in 2019 for £50m, impressed as United beat Burnley 2-0 at Old Trafford on Wednesday night.
United took the lead when the 25-year-old sent a cross into the six-yard box to set up Christian Eriksen from close range before Marcus Rashford scored the second.
Ten Hag said Wan-Bissaka, who has struggled with injuries this season and has been linked with a move away from Old Trafford for a while now, is slowly but surely finding his feet.
“Aaron Wan-Bissaka, it is clear he has a future (here),” Ten Hag told reporters on Wednesday. “He’s had some good years with United, but from the start of this season he had a lot of illnesses and injuries, and so was running behind …
“His fitness levels are getting better, his performance levels are getting better.
“When you get an assist, especially the way he got that assist with his movement and the right moment, the timing and then great pass of course from Bruno (Fernandes). But this is great and so I’m happy with his performance. He did good.”