The Bluebirds haven't been in the top flight since 1961 but Ramsey believes they could end their long wait this weekend.
"It would be good for them," Ramsey told Arsenal.com. "They have tried for a few seasons now and came close on a couple of occasions but it would be good for the city and good for the fans if they went up.
"I watched the Semi-Final and I thought they did well to get through in the end. Leicester are a good team, but it might be Cardiff's year this year.
"I'm sure I will watch the game somewhere. I still speak to a few players there and I will wish them luck before the game."