Bournemouth boss Eddie Howe said his side have experienced "a really difficult run".
"We've been knocked quite a lot this season with the injuries and the run that we've had. We had players playing who were not 100% fit," he added.
okratis Papastathopoulos and Nicolas Pepe scored in a 2-0 win that lifts Arsenal to 10th in the Premier League, four points behind fifth-placed United.
Arsenal defender David Luiz said his team can "do big things" after beating Manchester United to earn a first win under new boss Mikel Arteta.
"I've been to see the referee and he has been honest about it. We make mistakes and I believe he made one too," Wilder told BBC Sport.
"It happened that quick and I thought he could have been helped by his colleagues a little bit.
Liverpool manager Jurgen Klopp: "It was a tough test and rightly so. Wolves are used to a tough rhythm of games.
"First half we were good and controlled the game, but I can imagine Wolves were not happy with the VAR decisions.
Liverpool manager Jurgen Klopp to BBC Sport: "I am happy about that. I appreciate it because I do not take it for granted and the boys have to do it every three days. We had big chances at the start of the game, did not score with them but stayed in the game and controlled it.
Sheffield United boss Chris Wilder, speaking to BBC Sport: "We got our first penalty of the season, which is good - and we stuck it away successfully, which I am delighted about. It was not really one of our better performances but you have to give Nigel Person and his players credit.
"It was a fantastic effort," Hodgson said.
"I thought Jordan did ever so well to set up the first goal.
"The second was one of those wonderful individual efforts that will live long in the memory and get lots of airings on TV.