The 23-year-old was the subject of interest from the Premier League club in January as Alan Pardew prepared for Yohan Cabaye's £19 million move to Paris Saint-Germain.
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"I made the right choice to stay at Montpellier. I have goals, I hope to achieve them," he told RMC.
"I was glad that there was interest in me but the most important thing is what happens on the pitch here with Montpellier.
"I was 100 per cent focused on the team. I do not see myself leaving."
Cabella scored twice as Montpellier beat Reims 4-2 at the weekend to take his tally to eight goals in Ligue 1 this season.