It was an emotional day at Old Trafford as United commemorated the 60th anniversary of the Munich air disaster with a minute's silence before kick-off. Had he converted, he would have doubled the lead and all but secured the win.
The Chile forward saw his penalty saved by Jonas Lossl but was alert to knock in the rebound.
"Wednesday afternoon we have to prepare here, three training sessions for Leicester and Basel, but we need a little break, everybody - the players, the staff, the physios, everybody".
City have doubts about David Silva's fitness after picking up a knock against West Brom, but Fernandinho is available after the FA opted not to take retrospective action against him for an alleged stamp on Grzegorz Krychowiak.
Ramsey scored twice in the first half, either side of a headed goal from defender Laurent Koscielny.
Fellow January signing Henrikh Mkhitaryan also picked up a hat-trick of assists.
Of course, Liverpool are the only side in England to have beaten the Cityzens this season, but Burnley stole two points away from the champions-elect during the Saturday lunchtime kickoff.
Burnley are seventh in the league table.
Danilo had fired City ahead with a superb strike in the 22nd minute.
Burnley will try to nullify Manchester City and see the game out but eventually the runaway league leaders will find a way to breach their back line.
"It's been wonderful to come to New York City to announce the tour and give some local fans a real surprise!" the Frenchman said. First for a few weeks but we have been second for the rest.
The biggest and easiest chance of the game was missed by City's striker Raheem Sterling, who in the 70 minute failed to find the target from six yards out after meeting Kyle Walker's cross at the far post. "We can't wait to play in front of our USA fans again".
Elsewhere, Brighton moved up to 13th and level on points with opponents West Ham after a comfortable 3-1 victory.
However, they've already battled through a tiring schedule and the accumulation of those matches are starting to bite, with Kevin De Bruyne admitting he was "feeling from the first minute" after Saturday's 1-1 draw with Burnley.
But Stoke sunk back into the bottom three after Bournemouth followed up recent fine wins against Arsenal and Chelsea by beating the less illustrious opposition 2-1.