The winger has no intention of leaving his boyhood club in the summer, even if offers are invited.
Rashford has previously been linked to Paris Saint-Germain as a Kylian Mbappe replacement.
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Per The Sun, only a mega offer would tempt United or Rashford into an exit.
At present, he is only focusing on having a good end to the season and Euro 2024.
Co-owner Sir Jim Ratcliffe's attempts to revitalize the team will see nearly all players put up for sale.