Shroot scored twice for the reserves in their 3-3 draw with Aston Villa on the weekend.
Brum coach Terry Westley told the club's website: "To be fair to him he was very calm and didn't panic and put two good finishes in.
"If you can get him on the ball facing up in front of goal, he is a good finisher off his left or right side.
"He has trained very well since he has come back from Burton. He has been in with our group of Academy and young professionals and he has gone about his work in an impressive manner."