The former Hammers midfielder believes Cresswell has comfortably outperformed Danny Rose at Spurs.
The England international squad was unveiled this week for upcoming friendlies with Germany and the Netherlands.
One tough area to predict Roy Hodgson's inclusions was always going to be left-back.
Luke Shaw is clearly his favourite, but the Manchester United man is still struggling with a broken leg.
Leighton Baines, the most experienced potential option, has battled a niggling ankle injury and poor form all season.
So in the end the nods went to Danny Rose and Ryan Bertrand of Tottenham Hotspur and Southampton respectively.
Which has not gone down well with West Ham fans.
"For me it should be on how well you're playing that means you get in the England squad. That's how it should be.
"I mean Aaron Cresswell. He has done fantastically well for West Ham at left-back. He's left out.
"For me, he he has been better than Rose by a long way, so he should be in as well."
Lee, who spent one season with West Ham United and whose son Elliot is on the books at Upton Park, might have a little reason to be bias on the subject.
But it is very hard to find a reason for Cresswell to not receive his England cap.