His Castilla teammate Alvaro Morata has impressed this season when given a chance, but Jese has said that there is a large number of non-homegrown players in the Real side.
"In the first team there are good players but a lot of them are not homegrown," Marca quotes Jese as saying.
"I do not see why I have not been given a chance. What I will do is keep working, but I do not know. I hope the club know I'm training hard; I'm sure they know, and they will consider me soon enough."
Rodriguez has made one appearance for the Real first team in La Liga.