The Frenchman was provisionally removed from the Spanish club's squad, as well as some of his team-mates, following his reaction on public radio.
After a meeting between the club and the player on Friday, Valencia have decided to suspend the centre-back from first-team action - as well as withhold his salary - for a week, and insist the 27-year-old has apologised to the squad.
"Valencia and Adil Rami, along with his lawyers, held a meeting on Friday morning in relation to disciplinary proceedings opened by the club against the player last week," an official statement released by the club reads.
"After listening to the player, who has expressed regret for the statements made against the coach and his team-mates, the club have taken into account the mitigating factors and decided to sanction, in accordance with internal regulations, with a week of suspension of employment and payment of the player.
"Regardless of the punishment, Valencia and Adil Rami have agreed to work together to find a solution that is satisfactory to both parties."
The Liga outift were reported to be considering selling Rami as a result of his indiscretion, with the likes of Arsenal, Manchester City and Napoli linked with a move.
Valencia endured a miserable start to the season - losing four in their opening five - but have since seen drastic improvement, with a 2-0 midweek win over Kuban Krasnodar marking their fourth victory in a row.