The Hammers got the better of London rivals Tottenham Hotspur 1-0 at home in the Premier League.
Michail Antonio’s goal in the seventh minute proved to be the difference between the two sides at the Boleyn Ground.
Brady was delighted with the final result, but former Tottenham chairman Lord Sugar was clearly not.
Over the course of the 90 minutes at the Boleyn Ground on Wednesday evening, hosts West Ham had just 35% of the possession, took 14 shots of which only three were on target, and earned six corners.
Slaven Bilic’s side are sixth in the Premier League table at the moment with 46 points from 28 matches.
The Hammers are only a point behind fourth-placed Manchester City, who have a game in hand.
West Ham will return to action on Saturday afternoon when they take on Everton away from home at Goodison Park in the Premier League.