Kent has been mentioned as a potential option for Aston Villa when the transfer window reopens in January.
"The immediate future is me playing for Rangers," Kent told Sky Sports.
"I have given my best and I want to be more successful at the football club. I feel as if I have a lot to show, and a lot to win as well.
"My concentration is here."
He added: "I have the utmost respect for Steven and Michael Beale who I've known for a very long time.
"They brought me to this football club and I'm very grateful for that. I've learned so much from him.
"There is a new manager in charge now and we all need to work with him and give him our best, and all learn from our best."
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