Bayern Munich hold a goalless draw in an away game with Liverpool yesterday night.
Rodriguez is currently in a two-year loan at Bayern Munich but has not been a first-team regular throughout his time in Germany.
After the game, he spoke about his future as the Colombian midfielder is being linked with a move to Arsenal.
"In Madrid, I have everything such as my house and people who love me," said James. "We will have to see what happens, but at the moment I have a contract with Bayern Munich.
"I just want to finish the season and we'll see what happens. I keep in touch with some Real Madrid players."