The 25-year-old was sent off in the dying moments of the Copa del Rey clash at Camp Nou for elbowing the Barcelona midfielder in the face as they competed for the ball in mid-air.
But Ramos, who refused to comment on his dismissal immediately after the game, is adamant that he is not in the wrong and believes that Busquets was feigning an injury to get him sent off.
"I am happy that the club are appealing my second yellow card because even though some don't stop rolling around [on the turf], I didn't touch him [Busquets]," the defender wrote on Twitter.
Ramos went on to wish coach Jose Mourinho, with whom he is rumoured to have had a training-ground dispute last week, a happy birthday.
"I would like to congratulate our coach Mourinho on his 49th birthday. Congratulations Boss!! Delighted to have you here," he wrote.
Madrid will be looking to pull themselves out from their Copa del Rey exit at the Santiago Bernabeu this weekend when they face Zaragoza.