Shelvey elbowed Liverpool defender Emre Can during Swansea's 4-1 defeat on Monday night but escaped any action from referee Andre Marriner.
The 22-year-old's suspension begins with immediate effect and he will serve a four-game ban, an extra game added to the customary three for violent conduct as he was sent off at Everton earlier in the season.
"The Football Association said the incident with Liverpool's Emre Can, which happened in front of the referee, 'was not seen by the match officials but caught on video'," the club said on its official website.
"While the club supports Shelvey's statement that the incident was unintentional, it does not believe the outcome of an appeal would prove positive for the club or player."
Shelvey is banned for Swansea's Barclays Premier League visit to QPR on New Year's Day and Saturday's FA Cup third-round tie at Tranmere, as well as league home games against West Ham and Chelsea on January 10 and 17.
Source : PA
Source: PA