Celtic keeper Forster has earned major plaudits in recent weeks for his performances, particularly in the Champions League against Barcelona.
In stark contrast to Forster, Hart was severely criticised for his display in Europe against Bayern Munich.
But Forster insists that Hart can take any criticism coming his way, and told Celtic View: "I've picked up things from working with him.
"You take bits of knowledge from players like that, as well as working with a different goalkeeping coach, so you try to incorporate it into your game."
On the flak Hart is getting, Forster said: "It's just one of those things as a keeper.
"It's part of football, but he's proven time and time again what a fantastic keeper he is.
"Everyone makes mistakes, you just have to pick yourself up and move on. People judge Joe very highly because of the standards he's set himself, but that's the life of a keeper.
"One week you can make the most unbelievable saves and the next you can make one mistake, and it's the mistake everyone will be talking about.
"It comes with the job so I feel sympathy for him.
"As a group of keepers you are close, so you understand the position and you want everyone to do well, but it was uncharacteristic from him.
"He'll pick himself up and move on, come back stronger and prove he can do it again."
Forster admits his own performances in the Champions League have been crucial to his England call-up.
"The Champions League does play a big part. The big thing is the exposure as every game is on TV and more people watch them," he said.
"It's talked about a lot more so even if you did the same things in the SPFL it's never going to be noticed as much compared to Europe.
"It's a bigger stage so there's more coverage and more people are likely to sit down and watch me.
"I'm playing at a high level and that's been crucial for me over the past year.
"European football has been a fantastic experience and it shows how far we've come that we're disappointed with narrow defeats to AC Milan and Barcelona.
"We've been missing a bit of luck at times but we've competed well over 90 minutes and it's been individual moments that have been punished.
"To come off the back of both games with no points is disappointing, especially considering how we played."
Forster firmly believes England will come through their forthcoming World Cup qualifiers against Montenegro and Poland.
"We have a good chance with the two home games coming up. If we win them we qualify for the World Cup - and I fancy us to pick up two wins," he said.
"It's been a strange group compared to others in the qualifiers. It's really tight and competitive but at the end of the day you want to qualify."
Montenegro struck late on to earn a 1-1 draw in Podgorica when the sides met in March but Forster is more confident ahead of Friday's clash at Wembley.
He said: "There was a very hostile atmosphere over there and they were up for it.
"They worked hard but playing at Wembley will be a different scenario. We know we will be playing on a good pitch so we will be able to get the ball down and play the football we want to play.
"Poland are also a good team and there could be a lot to play for on Tuesday so it could be very tough."