Shaw got a rare chance this week in the Champions League Group Stage encounter against CSKA Moscow as he took the opportunity with both hands and left the manager impressed.
Pep Guardiola's City are eight points clear at the top of the PremierLeague after a top-flight record of 13 successive wins in a season, with second-place United aiming to close the gap at OldTrafford.
The move to their new Wanda Metropolitano stadium was created to herald a fresh period of success for Atletico Madrid, but Diego Simeone's side's streak of four straight runs to at least the Champions League last eight was abruptly ended.
Group leaders Barcelona will qualify as group winners, leaving Juventus and Sporting Lisbon with all to play for.
Romelu Lukaku and Marcus Rashford scored in a two-minute spell in the second half to seal victory at Old Trafford after a contentious goal for CSKA on the stroke of half-time off the back of Alan Dzagoev.
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"It will be interesting to see if they will be like that against Manchester City because Manchester City could pierce them open, should they come out the back".
Lukaku volleyed in just his second goal since September for the 64th-minute equalizer, and strike partner Marcus Rashford drove home an angled victor to complete the comeback.
The Swiss outfit got off to the ideal start when Mohamed Elyounoussi headed them into a fifth-minute lead from Michael Lang's cross.
The Watford performance was marred by a poor second half, while the Arsenal victory owed much to the heroics of David De Gea in goal, but United's matchwinners were unheralded players: Ashley Young scored two stunning goals against his former side at Vicarage Road, before Jesse Lingard struck twice at the Emirates. Anderlecht won in Glasgow 1-0 but Celtic finished third to take the Europa League place.
Last season's beaten finalists Juventus clinched a spot in the knockout round after beating Olympiakos 2-0 in Greece, Juan Cuadrado and Federico Bernardeschi on target for the Serie A champions.
Chelsea equalized to finish second in the 75th minute; defender Stefan Savic turned Eden Hazard's shot into his own net.