"My hopes (for the new year) are that the win (over Newcastle) will give even more confidence, desire and ambition to our team, and that 2013 will confirm we are a great team," Wenger told Arsenal Player.
Theo Walcott bagged an impressive hat-trick against Newcastle and is relishing a chance to shine in his preferred central attacking role.
Despite the England international, 23, having yet to agree terms on a new contract with the Gunners, Wenger is glad to see Walcott enjoying his football.
"I have worked with Theo for seven years and the fact that he had an exceptional game against Newcastle will not influence me more or less - if he had played a disastrous game, I would still have wanted him to sign with the same intensity," Wenger said.
"It is good that he gets rewarded for his effort and for me that is more important."
Wenger has had to endure one of the most testing spells of his 16-season tenure at Arsenal this season, including a Capital One Cup penalty shoot-out defeat to npower League Two side Bradford. However, there is now genuine optimism for the second half of the campaign as the Gunners are now back within striking distance of the top four and ready to tackle Bayern Munich for a place in the quarter-finals of the Champions League.
Walcott will return to his old club on Tuesday, along with midfielder Alex Oxlade-Chamberlain, who was also on target against Newcastle. Wenger is likely to rotate his squad at St Mary's, but could well opt to unleash Walcott down the middle once more.
Arsenal, meanwhile, are reported to have tabled a £10million bid for Atletico Madrid striker Adrian Lopez and will also look to offload fringe players like Marouane Chamakh and Swiss defender Johan Djourou - who is reportedly a player of interest to German side Hannover - during the January window.