Blues fans booed substitutions made by the former Napoli boss during the game, before joining the visiting fans in chanting "you're getting sacked in the morning" at the Italian.
After defeat at Arsenal last month, Sarri said his players were "difficult to motivate".
Whether Sarri sees out the run of fixtures remains to be seen.
"I'm anxious about the results, not the fans", Sarri said in response to their angry reaction to a defeat which came barely a week after a 6-0 hammering at Manchester City. The Italian clung to the positives.
Opec tightens its taps as global oil demand stalls
The group made a strong start to the strategy, slashing output by 930,000 bopd to the lowest in nearly four years, the IEA said. Hassan Rouhani's government would face even a much worse scenario if the US decides to bring Iran's oil exports down to zero.
"I was only anxious about my position when I was in League 2 in Italy, not now".
A change of boss has had the desired effect for United, who enjoyed an 11-game unbeaten start under Solskjaer before defeat to Paris St Germain.
Those who were expecting United to struggle once again were left disappointed, as they put in a sublime away performance, defending resolutely and then counter attacking to maximum effect for a deserved win. There's a balance between being too eager after losing a game, so this was brilliant.
"He'll be thinking, 'Will we get top four?"
Aside from United-Wolves, the other all-Premier League tie will be Watford hosting Crystal Palace.