The England forward will not be playing for his country this summer at Euro 2024, as he did not make the squad.
Rashford and United won the FA Cup against Manchester City at the weekend to round off a difficult season.
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"It's time to come off socials for a few weeks," he wrote on his social media pages.
"I plan to rest and reset mentally after a challenging season individually and collectively. Thanks to the fans that stood by me through a difficult period.
"To the ones that didn't, just remember at United, we always stick together."