Sarah apparently believes he was ‘used for PR purposes’ by Chechnya leader Ramzan Kadyrov.
Kadyrov has been accused of numerous human rights violations and is an ally of Vladimir Putin.
Roth tweeted to his 258,000 followers: “Football star Mo Salah is considering quitting Egypt's national team because he was used for p.r. purposes by the brutal Chechnya leader Ramzan Kadyrov (Putin's ally) while the team was practicing there.”
However, the EFA says retirement is not an issue which has been raised by Salah.
"We were always informed by Salah when he takes any decisions," it said in a statement.
"We spend the whole day together and he has never discussed this issue with any of the delegation's members."
On the criticism Salah has received after he was given honorary Chechen citizenship by Kadyrov at a farewell to the squad - which has been based in Grozny in the region - the statement added: "We are here in a sports event and we are following FIFA procedures, we don't discuss politics, and if there is any political discussion, it should be directed to FIFA."
Mohamed Salah's international future is uncertain (Image: GETTY)
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Salah's agent Ramy Abbas has been outspoken about the treatment of his client by the EFA in the past and he first took to Twitter on Friday to post some thoughts, starting with "Let these next few days just pass... and then we'll see..."
Many took that to be a hint about Salah's international future and a day later Abbas followed it up with "Fuming" and “#RespectForAll".
His last message, on Saturday was: "When it was once said that a picture speaks a thousand words, apparently not. So here are the words: Regardless of background, ethnicity, orientation, preferences, everyone deserves respect, and equal rights. #RespectForAll".
Salah's last tweet, posted last Wednesday, said: "Everyone in Egypt is together and there is absolutely no disagreement between us.. We respect each other and the relationship is best."