England take on the holders in Saturday's 19:00 GMT kick-off, with Mbappe leading the scoring charts on five goals after adding to his tally with a firmly struck double in the 3-1 victory over Poland.
The Paris Saint-Germain speedster is likely to be marked by Manchester City's Kyle Walker but Shaw and Reds team-mate Maguire look certain to also form part of the defence that is charged with the responsibility of keeping the 23-year-old quiet.
"We managed to watch the end of the [France] game on the coach and after his [Mbappe's] performance, there is going to be even more chat about him, and we know he is a world-class player," said Shaw, quoted in the Daily Mail.