Former Chelsea manager Tuchel will leave Bayern at the end of the season.
Kicker says Ratcliffe has made contact with Tuchel about a return to England to replace Erik ten Hag.
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Ratcliffe has failed to offer any public support to United's manager, who guided the club to a second consecutive FA Cup final on Sunday.
Tuchel has informed Ratcliffe he is fully committed to Bayern's end of the season, with a Champions League semifinal to focus on.