Samir Nasri was the sole big-money arrival over the summer at the Emirates and reports suggest Wenger is considering making moves in the transfer market in January.
“Absolutely. There have been suggestions that we keep stopping him from buying – that is not the case,” Hill-Wood told ArsenalTV.
“He’s very sensible with the way he approaches the transfer market, he’s not going to buy anybody just because the press or fans say he should.
“He’s only going to buy somebody if he thinks they’re going to improve what is a young squad but a very talented one.
“He certainly has got money if he wants to spend it.”
He added: “I certainly want to finish in the top four in the league, and perhaps (win) the Champions League.
“We’ve played pretty well in Europe on the whole so far, and that would be very nice.
“We got to the final in Paris. We’ve been up there, and it would be wonderful to win that.”