With City and United not allowed to play their home leg in the same week, United will entertain the leaders of La Liga at Old Trafford on April 9 or 10, with the return a week later.
The English defending champions were simply ruthless against a lacklustre Schalke defence and with players like Sergio Aguero, Bernardo Silva and Raheem Sterling in top form, it won't be surprising to see City take long strides in the Champions League this campaign.
Europa League quarter-final draw live stream and TV coverage will be provided exclusively by BT Sport on Friday 15 March as the remaining eight learn their fate.
It will be fascinating to see how Lyon coach Bruno Genesio sets up his team for the game, and how he instructs them to play.
The result and performance from Barca was rounded off when Ousmane Dembele finished well, following a superb pass from Messi once more.
The former Liverpool midfielder, who moved to Catalonia last January for a reported initial fee of £106.4million, scored in Wednesday's 5-1 Champions League win over Lyon but has failed to establish himself in Barca's first team.
The quarterfinals first leg will begin on 10th April after the global break.
Which two teams will make it to the final of the Champions League?
Dembele is likely to miss upcoming league matches against Real Betis, Espanyol, and Villarreal while he has just under four weeks to recover in time for the meeting with Atletico on April 6.
City and Spurs came out of the hat together and will need no introduction to one another as they prepare to lock horns in pursuit of European glory. Barcelona vs Man United will be a massive test for Solskjaer.
"Ronaldo can help his teams win everything, but Messi is a genius and goes further".
"Barcelona are one of the best teams in Europe", the France global told Lyon's official website.
Philippe Coutinho signed a five-year deal at the club which means he is scheduled to stay at Barcelona until 2023.
It will face Valencia in the Copa del Rey final in May.