Costa insists he has the Chelsea fans to thank for helping him get through all the tough times and is doing his utmost to repay them.
Costa, who has scored four goals in as many League games so far, told Chelsea magazine: "I hear them and I'm very thankful.
"Sometimes I even tell my relatives and my friends that I get a lot of love from the fans and I'm not sure if it's deserved.
"I do my best, I go onto the pitch and I play to the best of my ability. I try to reciprocate and to give back to the fans with my performances, like a big 'thank you' for the love they show me."