The 21-year-old left Liverpool to join the Swans in a £5m move earlier this summer, ending his three-year stint on Merseyside.
Shelvey had been expected to replace Steven Gerrard in the Liverpool midfield in the long-term, but the former Charlton player made his decision in order to sample regular first-team action.
And the England international made an eye-catching debut in the Swans' 4-0 Europa League win over Malmo on Thursday, impressing with his range of passing.
"It is a big, big thing to leave, to come away from one of the biggest clubs in football, but I felt that I needed to come and play," said Shelvey.
"I didn't want to sit behind people. I felt that I wasn't getting a fair crack of the whip at Liverpool but that's football.
"I can't fault any of the players there because they were first class.
"I felt my days had come to an end, I needed to get away whether it was on loan or permanent, but I needed to leave and try and get some football."
Of comparisons between him and Gerrard, he added: "You can't put me and him in the same sentence because it's just ridiculous how good he is, but people have compared me to him and that is just an honour.
"I have gone from living next door to him to living in a farm out here, but I have enjoyed every minute of being here so far, and my missus is loving it, because the weather has been so nice as well."
Shelvey also revealed that Anfield boss Brendan Rodgers, a former Swansea manager, helped him with his move to south Wales.
"Because Brendan was here it helped me get to know the club a bit more," he said. "When I was coming down he rang me and told me about the club and the people to look out for, and the people who would help me.
"It has helped me working with him already, and obviously he can't speak highly enough of Swansea City Football Club."
Shelvey's new manager, Michael Laudrup, is in no doubt about the qualities he can bring to the Welsh club.
"He has adapted to the team very quickly, he has great potential," said the Dane.
"I think for him it was important to go to a club where he can play a lot.
"Playing like he did against Malmo means it will be very difficult to keep him out. He is adapting very quickly to the way we play."