The centre-back criticised his coach and team-mates by making a series of statements on Spanish radio station Cadena SER.
“My relationship with him is not good,'' Rami said. ''He does not speak to your face. To me, he said I could be one of the best centre-backs in Europe and he has not shown it.
“We lost people like [David] Albelda, Tino Costa and [Roberto] Soldado, people who talk face to face and now in the dressing room there are only those that don’t tell the truth.”
Valancia confirmed in an offical statement that Rami had been suspended on grounds of gross misconduct, pending a final course of action, with Djukic mulling over his next move.
''Where the club go from there is not down to him,'' the 47-year-old said.
''Will we replace him in the transfer market? First we have to resolve this issue and then we will see. Rami is currently a player at Valencia and the club will decide what is best for him.''
It is understood that the 27-year-old will have up to 15 days to appeal, while the club considers a final course of action. Rami will not be allowed to train with the first team or visit Valencia's Mestalla stadium during his suspension.
Djukic has since called upon Victor Ruiz to fill the void left by Rami and the Serbian is more than content with the efforts of the 24-year-old.
“When he has had to play and when he has not, he has accepted it. The other day he played a sensational match, very complete, alert and above all his professionalism has been brilliant," Djukic added.
Valencia head into week seven of the Liga campaign searching for a third consecutive win against bottom side Rayo Vallecano.