The 26yearold England global has been with the Premier League champions beginning around 2015 when he moved from Liverpool.
Notwithstanding, he has made only two Premier League begins this season under mentor Pep Guardiola.
Talking at the FT Business of Sport US Summit, Sterling said: "In case there was the chance to head off to some place else (for more game time), I would be available to it right now.
"As I said, football what is truly significant to me challenges that I have set myself since early on and dreams also, to play abroad.
"As an English player all I know is the Premier League and I have consistently had something down (in me) that perhaps one day I couldn't imagine anything better than to play abroad to perceive how I would face that test.
Real might get an uncommon beginning on Saturday against Burnley after City winger Ferran Torres experienced a cracked foot while playing for Spain at the Nations League.
Notwithstanding his couple of starts, Sterling, whose manage City runs until 2023, says he will not be rushing to Guardiola's office to request really playing time.
"I'm not an individual that will grumble.I've made an effort not to make it a greater arrangement than it really is," Sterling said.
"I continue ahead with my work, do what I need to do.Also, I'm only chomping at the bit to go playing football coordinates consistently, score objectives routinely.
In the interim, Sterling added that he accepts bigoted maltreatment proceeds to not be treated as in a serious way as other social themes.
Following England's loss to Italy on punishments in the Euro 2020 last at Wembley, Jadon Sancho, Marcus Rashford and Bukayo Saka were all objectives for online media savages subsequent to missing spotkicks in the shootout.
"I feel when it is referenced (as) bigoted maltreatment, I don't feel like it's treated as in a serious way as though you would specify specific different themes," he told the highest point.
Authentic let it out was "disillusioning" for his England colleagues to have been designated by their own allies.
"You are coming to work, to do your most extreme best to attempt to dominate a football game, to move forward and be counted, to take a punishment for your country," he said.
"I don't think a many individuals comprehend the tension that certain individuals are under.
"I for the most part accept that the young men were certain and afterward, obviously, missing which, as a player, nobody likes to miss a punishment.
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