Johnson was facing a three-match ban for the straight red, which came for a push and shove match with Remy, but he has been cleared after a wrongful dismissal appeal.
However, Frenchman Remy's sanction will stand meaning he will miss this weekend's Tyne-Wear derby with Sunderland.
"The claim involving Norwich's Bradley Johnson was upheld meaning his three-match suspension is withdrawn.
"The claim involving Newcastle's Loic Remy was dismissed therefore his three-match suspension remains with immediate effect.
"Both players had been dismissed for violent conduct."
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