Broomes, who was released by Stoke boss Tony Pulis at the end of last season, has agreed an initial one-year contract at Bloomfield Road and will complete his free transfer move on July 1.
"I'm delighted to sign the contract," Broomes told BBC Radio Lancashire. "I'm a versatile player and can play in various positions and am comfortable on the ball. Hopefully I can be a good addition to the squad."
Broomes, who has also played for Blackburn and Preston, has failed to make a first-team appearance for more than two years because of injury but was never worried that it might affect his chances of a move.
He added: "The injuries I had were two years ago so all this season I've been fit and playing reserve games. I know Simon Grayson has watched me several times, so they've seen that I've been performing well.
"My first season I did well. I played over 40 games, but then the manager left and after Tony Pulis came in I was out for a whole year with the injury.
"I never really got an opportunity after that because he brought his own players in. But that's football. You have your ups and downs and I'm delighted to be a Blackpool player now."