The Czech midfielder scored within 72 seconds of the north London derby on Sunday, a magnificent half-volley that proved to be the winner against Spurs at White Hart Lane.
As a result, the Gunners climbed to within four points of league-leaders Chelsea with a game in hand over Jose Mourinho's side.
And Rosicky believes this season's title race is the first of its kind since he came to England - with four teams equally capable of winning the Premier League - making the 33-year-old keen to ignore the critics.
“You cannot influence what the people around you are saying. I mean no disrespect to you but I don’t care what you are saying. Don’t take it negatively but it is like that," Rosicky is quoted as saying by the Evening Standard.
“Only what counts is that we come to the pitch and win the game. If we don’t win the game, obviously you are right. The only thing that you can influence is on the pitch. The truth is on the pitch. Nothing else matters.
“Since I’ve been in England and playing for Arsenal, it is the first time it has been like this. Four teams basically are fighting for the title. It is amazing for everyone — the players, the supporters, the media. It is great and it will be very interesting until the very last day of the season.
“If you or the other people believe in us or not, it doesn’t matter for the team because we have to come and convince everyone on the pitch. The truth is on the pitch.”
Rosicky's impressive displays for the Gunners this season have earned him a new contract at the club, while his role in the Arsenal team may become increasingly important amidst an injury crisis for Arsene Wenger's side.
Can Arsenal finally win the Premier League again this season?