Manager Neil Lennon has accused the Israel Football Association of disrespecting Celtic by leaving him in the dark about Beram Kayal's injury.
The midfielder is likely to miss Saturday's game against Dundee United after hurting his ankle.
"I am not happy with the Israeli FA. There has been a lack of communication between their medical team and my medical team," said Lennon.
"I think it's a profesional respect. There's a duty there."
Kayal was taken from the field on a stretcher in the first half of Israel's 4-3 friendly defeat by the Ivory Coast on Wednesday following a challenge from Chelsea striker Didier Drogba.
But Lennon, who has a number of other injury worries to contend with, was unaware of the extent of the injury until Kayal returned to Glasgow.
"Kayal got a bad one," said the Celtic boss. "It was a big impact from the tackle, he rolled his ankle and it is still quite swollen, so he is obviously a major doubt for tomorrow.
"But we only knew the extent of the injury when we saw Beram yesterday, so that is something that needs to be addressed.
"It's not the first time that's happened to us.
"It has happened with other countries. Cha [Du-Ri] played last year [for South Korea] when he was injured and we lost him for a few weeks after that.
"I'm just disappointed by the way we are being treated when we are good enough to let our players go.
"They should be straight on the phone to our football club and let us know the extent of the injury and at least give my doctor an explanation of what has happened."
Left-back Emilio Izaguirre broke his ankle at Aberdeen last week and could be out for six months.
Defender Glenn Loovens is out for another month with a hamstring injury, while skipper Scott Brown suffered an ankle knock playing for Scotland against Denmark that leaves him in doubt for the visit of United.
Lennon added that he has still not given up hope of bringing back Manchester City striker Craig Bellamy but seemed to accept that he will lose Polish goalkeeping target Grzegorz Sandomierski to Genk.
"From what I can gather, he is in Genk at the minute," he said.
"If there is an avenue, we will pursue it, but we do have other options."