Ex-Manchester United boss David Moyes watched his side edge closer to the Championship on Sunday, with his Sunderland side beaten 3-0 at home to Manchester United.
Everton has now won seven consecutive Premier League home games, all of which Lukaku has scored in.
Twitter user @oibanji posted a short clip which showed Mourinho questioning the chant with a quizzical look on his face.
"The result was good", said United manager Jose Mourinho, whose side will return to sixth place if Arsenal win at Crystal Palace on Monday.
Injuries to Phil Jones and Chris Smalling leave Mourinho mean Shaw is likely to feature in a big week for United, with the trip to Anderlecht for Thursday's Europa League quarter final followed by Chelsea's arrival at Old Trafford on Sunday.
"The older you are, the more experienced, the more intelligent and you don't waste energy on things you don't need", Ibrahimovic told Sky Sports.
Manchester United's Swedish striker Zlatan Ibrahimovic gestures during the English Premier League football match between Sunderland and Manchester United at the Stadium of Light in Sunderland, north-east England on April 9, 2017.
According to Rice, Mourinho added: "We want to fight in the Premier League until it is mathematically impossible".
The Black Cats threatened for the first time with five minutes remaining in the first half when Victor Anichebe escaped Eric Bailly to unleash an effort on goal, but Romero proved equal to it with a strong save. "I thought about changing him at half-time because he'd been booked and I needed to be sure he'd be available for the next game but then thought that would be too harsh".
"With the Community Shield and EFL Cup in the pocket, the Europa League is the only competition we can win".
"I haven't trained much but I wanted to come in and help if I could, today's not a good day, it's a disappointing day, we haven't had a good week". There's no hiding the fact we're in a hard position, but we have a home game next and let's see if we can get a win and get some momentum.
"We keep fighting, we keep going", he said after suggesting he will consider attempting to overturn Larsson's impending suspension by appealing against the sending-off.
The Swede's superb 30th-minute finish, his 28th goal of the campaign, handed the visitors an advantage which grew significantly when compatriot Sebastian Larsson was dismissed for a challenge on Ander Hererra two minutes before the break.