King is currently on loan at Swansea for the rest of the season. He moved after struggling to get a chance for the first team at Leicester in recent months.
And he is hoping this temporary move will turn into a permanent one in the summer, especially if Swansea are still in the Premier League at that time.
"I have had some great times at Leicester City and there are some great memories, but I think the time was definitely right to move on," King told Swansea's official website.
"My time at Leicester had come to an end. I was not really involved and I am not one of those players who wants to train and not be involved on a Saturday.
"I wanted to come and try something new. It looks like a great place to live. I know a few of the lads already and they spoke very highly of the club.
"If the loan all goes well over the next few months and the club are happy with the work I have done, maybe I can stay here longer."