The Ivory Coast international has been linked with Turkish side Fenerbache as well as his former club Lille in France.
But Gervinho said: "I have a contract until 2015 with Arsenal and I intend to honour it.
"There is always speculation in the papers, but I am looking forward to a good holiday and to come back to Arsenal.
"I want to win my place in the starting line-up week in, week out."
Gervinho has struggled since joining Arsenal in 2011 and is thought to be valued at 12m Euros.