Barkley now wears Lampard's former No8 shirt.
He told chelseafc.com: "He was a player I looked up to when I was growing up, and then I was lucky enough to play with him as well and take tips from him when we were with England together.
"Now it's great to have him as manager. He will pass things that used to work for him in games on to us. To have him back is brilliant for the players because of the experiences he has had over his career, and it's going to be really exciting for the fans as well."
On his shirt number, Barkley added: "Of course he was a massive player to wear that number for Chelsea. I was no.8 at Everton too so when the club said it was available for me and I could take it, I thought why not?
"It was great to take that number and hopefully there are many seasons ahead that I can score loads of goals."