Shelvey moved to Anfield in the summer from Charlton Athletic.
He told liverpoolfc.tv: "I was at Arsenal when I was about nine and I've always stayed in contact with Jack because he's a good friend. I know his family.
"I left and went to West Ham, but my brother left there so I did. Then I had a year out playing with my mates and I found that more competitive than academy football. I played for my dad's team and then I went into Charlton from the age of 12. I've got to thank Charlton a lot.
"People say to me, 'Why did you leave Arsenal?' But it's easier to break through at smaller clubs. I don't think I'd have been playing first-team football, so no, I've got no regrets."