He helped his side reach the final of the World Cup in December and was also part of the side that won the tournament in 2018.
Following his decision to step down from his duties with France, Varane hit out at the relentless schedule.
"I gave everything, physically and mentally," he told Canal Plus. "But the very highest level is like a washing machine, you play all the time and you never stop.
"We have overloaded schedules and play non-stop. Right now, I feel like I'm suffocating and that the player is gobbling up the man."
Varane has been a key member of the French national team ever since making his international debut in 2013.
His announcement came just weeks after France's World Cup-winning goalkeeper and captain, Hugo Lloris, announced his retirement from international football aged 36.