* Planets don't emit their own light. They reflect the light of their star. So, a planet itself can't be "cool" or "red."
* Stars come in different colors. A cool red star is a type of star, not a planet.
So, the answer is: There is no planet that is a cool red star.
However, there are many planets orbiting cool red stars! These stars are smaller and cooler than our Sun, and they can be reddish in appearance.