Noble has been at West Ham his entire professional career so far and is one of the most important players for the team.
The 28-year-old midfielder has not earned an England cap yet, and Brady has suggested that this needs to change.
The 46-year-old believes that Noble should be part of the Three Lions’ squad for the Euro 2016 finals in the summer.
“At West Ham we are entirely prejudiced in favour of Mark Noble getting into England’s Euro 2016 squad,” Brady wrote in her football diary in The Sun (Friday, February 13 entry). “Our captain is in the form of his life.
"While many plaudits are aimed at Dimitri Payet, it is Noble’s perpetual motion across the entire field that provides balance and aggression. Week-in, week-out he covers more of the pitch than anyone — I get tired just writing about it.”
Noble has scored two goals and created 31 chances in 24 Premier League appearances for West Ham so far this season.
The Englishman has a pass accuracy of 87% and a shot accuracy of 29%, and has won 12 headers, 16 dribbles and 47 tackles.
West Ham are sixth in the Premier League table at the moment with 39 points from 25 matches, eight points behind fourth-placed Manchester City.