Telfer was handed his competitive Gers debut in the second half of the 4-0 victory over Stenhousemuir at Ochilview on Saturday.
The 18-year-old became the first player from the Ibrox club's Football in Community scheme to represent the senior side.
And fellow midfielder Hutton has predicted it will not be the last time the playmaker features for the Glasgow giants.
He said: "I was really pleased to see Charlie get his chance
"I have played a few games with him this year in the reserve team and he has got a good footballing brain.
"He is really clever player for his age who understands the game very weill.
"I knew he was due for his start in the first team, but it was great to see him on the pitch and hopefully now he can play in a few more."
Hutton added: "A few of the young lads have come through and established themselves in the first team at Rangers in the last couple of seasons.
"Fraser Aird and Lewis Macleod have both done brilliantly and Charlie Telfer can definitely go on and enjoy the same success as them.
"As I said, for his age, he understands the game well.
"He has got a good touch, good awareness and has a good personality as well.
"I am sure he can make the step up.
"All he needs is to make a few more appearances and get his confidence up and that will be him."