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.

The Greek government is trying to balance austerity measures imposed by the EU and the IMF with a return to regaining economic policy-making power.
Greece has had two bailouts totalling â‚¬240bn (Â£188bn) since 2010 when private investors refused to lend to Athens.
Greece wants to return to market financing from next year.
"Taking into account the still fragile market sentiment and the many reform challenges ahead there is strong support for a precautionary credit line," said Eurogroup President Jeroen Dijsselbloem at a meeting of eurozone finance ministers in Brussels.
Greek Finance Minister Gikas Hardouvelis told the Reuters news agency he hopes for a grace period of up to a year after exiting the bailout, during which Greece will still get a financial safety net but would not be "micro-managed" by lenders.
The credit deal will use â‚¬11bn already granted to Greece by the eurozone to strengthen Greek banks. The money was not needed after the European Central Bank tested eurozone banks last month.

She has been replaced on the ticket by the current MLA, Phil Flanagan, who missed out on selection at a previous selection convention six weeks ago.
In December, Ms Gildernew was selected to run alongside sitting MLA Sean Lynch and local councillor John Feely.
However, Sinn Fein's ruling council (Ard Comhairle) ordered a revote.
The party did not specify why, but it has been reported that concerns had been raised about procedural errors.
On Sunday, the new convention, which took place in Enniskillen, replaced Ms Gildernew with Mr Flanagan, who will now stand alongside Mr Lynch and Mr Feely.
In December, the outgoing MLA Bronwyn McGahan announced she would not be seeking re-election. However, Ms McGahan did put her name forward for the latest convention but was not successful.
Sinn Féin has come in for some criticism on social media for picking an all-male list of candidates.
There have also been rumours that Ms Gildernew, a former Stormont agriculture minister, might move to the neighbouring Mid Ulster constituency.
Last month, Deputy First Minister Martin McGuinness announced that he is leaving Mid Ulster in order to seek election in his home constituency of Foyle.
In response to the speculation about her moving, Ms Gildernew tweeted that "Mid Ulster has excellent candidates to replace @M_McGuinness_SF and my heart's in #FST".
She also said that she did not think she would stand as an independent and her de-selection "could be a blessing in disguise!"
During his time in the Northern Ireland Assembly, Mr Flanagan has been frequently in the news.
Last month, he was ordered to pay damages to the Ulster Unionist MP Tom Elliott over a defamatory message on Twitter.
Mr Flanagan has also been admonished by the Speaker, Mitchel McLaughlin over some of his comments in the assembly chamber and for not wearing a tie - a breach of the Stormont dress code.
Manchester City's friendly trip to face Major League Soccer side Houston Dynamo is in doubt after flooding in the city.
[NEXT_CONCEPT]
Eurozone ministers have moved towards agreeing a new credit line for Greece as it prepares to exit its bailout at the end of the year.
[NEXT_CONCEPT]
The former MP Michelle Gildernew has been dropped as a Sinn Féin candidate for the Fermanagh and South Tyrone constituency in the Stormont elections.