Former Egypt international Hany Ramzy said on Saturday Salah had discussed an approach from Madrid with then-national team boss Hector Cuper during a March 2018 training camp in Switzerland.
Ramzy told Egyptian television channel OnTimes Sports that he was present and also party to the conversation, even though he only joined the coaching staff under Cuper's successor Javier Aguirre.
But Salah's agent, Ramy Abbas Issa, rubbished the claims via Twitter on Sunday.
"Mohamed never discussed any career plans with any ex-coach," he wrote.
Salah enjoyed a stellar 2017-18 campaign, scoring 32 Premier League goals and supplying 10 assists.
Salah has scored 91 goals in 144 games since arriving at Liverpool from Roma in 2017.
He helped Liverpool sit 25 points clear atop the Premier League table when the season was suspended in March due to the coronavirus pandemic.