Britton played his 400th game for the Welsh side in Saturday's 2-2 draw with Reading at the Liberty Stadium.
"I've managed 200 league appearances since I moved here, and I would love to reach 400 games like Brits. He is a great example to everyone at the club," Rangel told the South Wales Evening Post.
"I know I am approaching 30, but I look after myself and I hope to play as long as I can before retiring here."
Rangel made his first appearance for Swansea when they were a League One club back in 2007.