The 19-year-old completed a move to the Clarets on Friday following the termination of his contract with City.
Egan-Riley spent more than a decade with the Blues and made three senior appearances for Pep Guardiola’s side last season, including a 90-minute performance at home to Sporting Lisbon in the last-16 of the Champions League.
But the young defender has decided to swap to Manchester for Lancashire and explained several conversations with Kompany were a big factor in him making the move, with the Belgian appointed as Burnley’s new manager earlier this summer.
“It was probably about a month ago, I was actually on holiday and the manager [Vincent Kompany] called me,” Egan-Riley told Burnley’s website.
“I just had a quick chat with him, then had a few more talks when I got back with my family and everything he was saying and put forward, I just wanted to be a part of.
“Vincent Kompany is someone I have looked up to all my life, being a defender at City and I just had to heavily consider and knew I would learn a lot from him.
“He played a huge part, he has a great mind for the game, he’s a great guy and I’m really looking forward to seeing what he can teach me.
“He’s a legend of the game, one of the best central-defender’s I’ve ever seen in football. I’m just going to try to take in as much as I can learn as much as possible from him.
“I’m buzzing to be here; happy the deal is over the line and I’m a Burnley player,” he added. “I just can’t wait to get pre-season started and get the season under way.”
Having spent over half his life at City, it was an emotional decision for the Manchester-born defender to join Burnley, and he posted a lengthy farewell message on his Twitter, thanking his team-mates and fans.
“I have been fortunate to work with brilliant coaches and staff, all of whom have played a part in helping me achieve the things I have. Thank you to all of you for your belief in me and helping me develop both on and off the pitch.
“I would also like to thank my team mates. It has been an honour going into battle with you. I have some brilliant memories and wish you all success for the future.
“Thank you to Pep Guardiola and his team for giving me the opportunity to make my Premier League and Champions League debuts.
“Best wishes to the fans as well. This club will always have a special place in my heart.
“As I move onto the next part of my footballing journey I have to thank my family for their continued encouragement and support.”