Van Gaal has often spoken of how he is looking to inject ‘speed and creativity’ into his side and he has seemingly identified Sanchez as a target.
Van Gaal reportedly told the Chilean that he would be the “cornerstone” of his side at Man United.
However, Sanchez is said to have no interest in moving to United as he recently purchased a new home in London.
Any deal, if it was to come off, would come as a huge shock as Arsenal would presumably fight tooth and nail to stop one of their best players strengthening a direct rival.
A number of top clubs would be interested in Sanchez if he was to become available but it is highly unlikely that Arsenal would let him go, unless a ridiculous fee was involved.