Vadim Vasilyev, the vice-president of the club, is understood to have told Henry he would be kept on at Monaco despite a awful run of results that saw the club win only two of their 12 league fixtures under Henry.
"Monaco have chose to suspend Thierry Henry. until a final decision (on his future) is made", the principality club said in a statement.
Monaco are 19th in Ligue 1 and three points away from safety.
The principality side were also knocked out of the French Cup in the last 32 by Ligue 2 side Metz on Tuesday.
City manager Guardiola, however, does not agree with Monaco's decision to suspend Henry, who played under him at Barcelona. After a brief spell with Juventus...
Henry spoke at a pre-match press conference on Thursday and said: 'Rumours are not a problem. "At some stage you need lads who want to save the club, who are not just thinking of themselves".
Two years after winning the title under Jardim, who was sacked on October 11 after a rough start himself, Monaco sits 19th in the table with odds as "good" as 2-to-1 or bad as 7/4 to be relegated, depending on where you shop.
IMF, CEOs warn of slowing world economy on eve of Davos summit
In the currency markets, the dollar held at a near three-week high as investors sought the relative safety of the US currency. Official figures yesterday showed that China's economy expanded at 6.6 percent a year ago - the slowest pace since 1990 .
"This weekend, it's going to be war" Henry added on Wednesday, and confirmed he has removed some members of his squad without confirming names.
Henry also lost his temper over perceived time-wasting during Monaco's 5-1 defeat at home to Strasbourg earlier in the month.
The club released a statement confirming their move, saying Henry's assistant, Franck Passi will oversee training today.
Henry won just five games across all competitions during his time at Monaco.
"In his short time at Monaco, we have seen too many times his frustration on the bench".
Monaco sits in 19th place in the league with 15 points, now in the relegation zone.