However, Rodgers has admitted that, while he doesn't want the job now, he would like to manage his country in the future.
"Managing Northern Ireland is something I want to do at some point in my career for sure," Rodgers told the South Wales Evening Post.
"It's my country. It's where I'm from, it's where I grew up and it's a country that I love.
"But hopefully that chance will come towards the end of my career, and I hope that won't be for many years yet. I have got too much energy to be an international manager at the moment. Right now it's not something for me."
Swansea travel to Norwich City in the Premier League on Saturday.