Hart acted as a stand-in keeper coach for Tuesday's win at Salford City.
The former Manchester City and Tottenham keeper stepped in after Brian Jensen's departure last month.
"It was a lot of fun," Hart told BBC Radio Shropshire. "I know the goalkeeper coach situation at the moment and, obviously, I'm very close with Gav (Cowan, manager). I wanted to come in and help.
"I wanted to use everything that I've amassed over the years, but at the same time I totally respect what the boys are building here and I'm not going to be a part of it come tomorrow. So, if I have helped in any way, great."
Hart admits the chance to work with Matthew Cox, who is on loan at Shrewsbury from Brentford, and substitute goalkeeper Will Brook was too good to pass up.
Askedif it was special to wear the Shrewsbury badge again, Hart said: "It is, but my life's been surreal - the whole thing.
"When the opportunity came and they asked, I put myself forward to be there for Coxie and Will tonight.
"I'm just absolutely honoured and delighted that I could come and do it and that we enjoyed a successful evening."