The Netherlands international believes the north London club will improve but refused to be drawn on speculation over whether he will sign a contract extension
The Emirates side currently sit 15th in the Premier League and trail league leaders Manchester United by 12 points after losing 2-1 at White Hart Lane last week.
But Van Persie remains confident that things will improve in the near future and insists everyone should remain calm.
"I have every trust in the things we are doing within the club," Van Persie told the Sunday Mirror.
"There is only a fine line between winning and losing. Just look at our last match against Spurs. We could have won that game with the chances we had. There is no need for anyone to panic.
"Our start is not good. I would have felt better if we had won the derby. We didn't and right now there is a negative feeling. But I assure you, it is not all that negative.
"It is up to us, players and staff, to sort it out on the pitch."
The Dutchman is rumoured to be considering an offer to extend his stay at the Emirates, but refused to discuss the issue, preferring to concentrate on his side's current fortunes.
"I am not going to make any statements about my future. Not now, not for a while," he added.
"I've been at Arsenal eight years and that is quite extraordinary these days, which is why I treasure this. What my future will bring, nobody knows.
"I can understand people are curious, but I am just dedicated to everything at Arsenal right now."