Defender Nicolas Otamendi also posted an image, showing off the luxurious flying conditions enjoyed by the City squad for a flight lasting less than an hour and a half. "It is between him and me, it's a sporting decision".
But Kompany is unlikely to travel to the Netherlands after suffering the injury to his calf on global duty with Belgium.
"They have a lot of good players, for sure, but, in the Champions League, it's a different competition and we'll try to do our best to go as far as possible".
However, Sam Lee of Goal claims to know the reason behind Yaya's absence, saying City's coaching staff have become more and more concerned about Touré's fitness levels in recent weeks.
Guardiola, meanwhile, confirmed that Ederson has travelled to Holland and could line-up against Feyenoord despite having stitches in his face following his clash with Liverpool's Sadio Mane last weekend.
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Asked if the incident could make the goalkeeper hesitant in future, Guardiola said: "I could understand that feeling if he felt that, but in today's training session there were two or three long balls and he was there".
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Toure was left out of City's squad for the trip to Rotterdam and, although he refused to be draw on specifics, Guardiola told a pre-match news conference the experienced midfielder "knows the reason why". "Of course it can happen but we will see", he said.
"If you are expecting me to say I am better than Feyenoord, I am not going to say that", he added. But, here and the schoolchildren it is clear how great the difference in the class of Feyenoord and Manchester City, which practically does not leave a chance to win the home team.
Jonathan is ESPN FC's Manchester City correspondent.