Chelsea manager Graham Potter, speaking to Sky Sports, says: "It's disappointing because we're 1-0 ahead at the end but over the course of the game a point is about right and I'm not sure if we did enough to win it.
"A really fighting performance from us, we improved a lot after 30 minutes so we will take what we get.
"We couldn't get enough control of the game in the middle. The boys gave everything they can and improved a lot in terms of our work, but we were playing a good side.
Manchester United boss Erik ten Hag, speaking to BBC Sport: "I have to make a big compliment to my team. To fight back with a fourth game in 10 days, you see the spirit and how they deal with setbacks. Really good.
"First half Rashford had two big chances, Antony one against one. You have to score goals in such moments because in top games three chances is massive. You have to score.
"We dictated the game and I am happy with that. If you concede a goal late it is difficult.
"Eight minutes before half time we had some troubles but defence in the second half we didn't have troubles. The second half we didn't really create big chances, but also Chelsea didn't.
"I think it is a fair result. I would have been disappointed if we had gone without a point because we didn't deserve that. At the end of a tough week to come here, you bring the point home."
On Varane: "It is difficult to say how it is now because it is so soon after the game. We have to wait 24 hours and then we will know what it is."
"I thought the players' attitude on the pitch was great, the boys gave everything in a hard, intense match in the middle of a really busy period. The boys left everything out there.
"Kepa was a bit unlucky but it's only just gone in and the first goal we have conceded in a while but we have to take the positives. I thought we could've attacked a bit better at times. We had chances, they had chances so a point is about right."