Harris is adamant the Gunners remain ambitious to challenge for the top honours, and he claims there are very few players the club would not be able to afford.
"We want to win the Premier League and the Champions League. If we buy two or three players then I think we can, "Harris said in a local newspaper.
"We want to win. We don't want to be second, we don't want to be third and we don't want to be fourth.
"We will support Arsene with the players he wants to buy. He has always been encouraged to spend."
Although Harris refused to divulge the budget available to Wenger, he did confirm the club would be willing to allow Wenger to once more break the club's transfer record.
"We would. It would be easy," Harris said. "There is a lot of paper talk. I wouldn't say it is £100m, I wouldn't say it's £50m and I wouldn't say it's £150m.
"If Arsene has asked for any player then we have always backed him to go and buy. With the exception of Messi, Ronaldo or Bale, we could buy most players."
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