The 24-year-old has been a polarising figure at Old Trafford, with former manager Jose Mourinho one of his chief detractors.
But Shaw understands the pressure that comes with playing for one of the biggest clubs in world football.
He said: "I think I'm still quite young and I've got a lot to improve on. I want to improve as a player day in day out and keep working hard.
"I don't need to pay too much attention to what people say in the media, it's sometimes good and sometimes bad. So I've got to focus on myself and the people that matter.
"I'm feeling really good and can't wait to get back out on the pitch. I've had a lot of stick and if you come to Manchester United you need to take that - people are always ready to criticise you.
"There are only high standards here, so we need to be strong, but we need to be on that pitch when it matters and give it everything we've got.
"It is completely different to other clubs and when you sign that piece of paper you know how different it is going to be.
“You have to be able to deal with it. If you are not strong mentally and confident you will struggle to deal with it. You have got to focus on tomorrow right now and do our best."