The Chilean is under fire after a disastrous start to the season. The Hammers are bottom of the league without a single point from the first four matches, despite huge investments in the squad.
"Having decided we did not want to go through another season like the last one, the Board took action," Brady told SunSport.
"We appointed a manager with the most successful career we have ever had in Manuel Pellegrini and spent over £100million on players he wanted that we all thought would improve the team considerably.
"It hasn't happened yet but I have complete faith that things will soon start to turn our way.
"The most important thing is to stick together.
"It takes time for a new team to gel, but gel they will and anyway targeting the manager or certain players will help no-one.
"As a club, we will stand by them all, confident that they have the makings of an excellent side.
"They need the encouragement of the many people, like the supporters and the Chairmen who love this club."