The Dancing On Ice star previously banned his late ex Jade Goody's mother from visiting their two sons Bobby and Freddy.
Brazier told The Mirror: "Their nan went through a very tough year. It was because of where she was in terms of her own grief, and was all a bit crazy.
"At the time it wasn't what the kids needed. But she levelled off a bit over time, and now their relationship is back on, full steam ahead. I always want her to be in the boys' lives."
He added: "She is the last link to their mum and it's important for their childhood that she stays where she is and she has them about one weekend a month.
"They have a brilliant relationship, they really love their nan. And they always come home happy - that's what's important."