The Premier League team, who are on a two-game post-season tour of the United States and Canada, are scheduled to play Houston on Friday.
Several people have died and dozens have been injured following record rainfall over the weekend.
On Monday, hundreds of basketball fans were trapped inside an arena after an NBA basketball game.
Supporters were advised to stay in their seats overnight following Houston Rockets' win against Golden State Warriors in the NBA Western Conference Finals.
Many spent almost 11 hours at the Toyota Center, until the early hours of Tuesday morning.
Manchester City are currently in Canada, ahead of their match against Toronto FC on Thursday.
Manchester City's friendly trip to face Major League Soccer side Houston Dynamo is in doubt after flooding in the city.