The Spain Under-21 star has admitted he could be forced to leave the club if they bring in another attacker this summer
The 20-year-old has been one of the stars of the European Under-21 Championship in Israel with three goals in as many appearances, but has found regular first team football hard to come by at Madrid due to the stiff competition for places.
Although Gonzalo Higuain is widely expected to leave Madrid this summer, Tottenham's Gareth Bale has been heavily linked with the club and Morata is not convinced that he will get more playing time next season.
"It depends on the circumstances whether I will stay at Madrid's first team. If another striker is brought in, I will have to think about what's best for me and consider leaving the club," Morata told Cadena Ser.
"I will talk to the coach once we have a new trainer and we will then see what happens.
"If I were to leave Madrid, I would prefer a move abroad."
Morata has a contract with the Santiago Bernabeu side until the summer of 2015.
Fellow Spain Under-21 international Dani Carvajal left Madrid for Bayer Leverkusen in 2012, but was re-signed earlier this month after impressing in the Bundesliga in 2012-13.