Earlier this year he was linked to a position with F1's new investors Liberty Media, but ultimately opted to take the McLaren role.
"I want to hear from them", Brown said.
Brown, whose appointment was announced on Monday, said he needed to settle in before making decisions but indicated it was important to improve the economics of the team.
McLaren's three biggest shareholders include the Bahraini investment fund Mumtalakat, Ron Dennis and TAG.
Previous reports have claimed that shareholders of British supercar-maker and Formula One team McLaren have been working to sell off majority shares of the company, but the company's CEO has confirmed that is not the case. While he is "no longer actively engaged" in his duties as chairman and CEO per the BBC, he still has his 25% ownership stake in the McLaren Group.
But American Brown, who was actually offered his new job by Dennis prior to the 69-year-old being put on "gardening leave", denied that bumping into the famous F1 figure will now be awkward.
Ron Dennis, who headed the McLaren Technology Group (MTG) that operates the Grand Prix racing group, was displaced this week after exactly what Sky News stated was a dispute over a Chinese takeover bid that Dennis backed and other financiers opposed.
Dennis is reportedly considering taking legal action against the other shareholders over his forcing-out, notes the BBC.
When Mr Brown arrives, his in-tray will include a strategy for reviving the financial and on-track performance of McLaren's F1 team, which has endured a barren period for the last few years.
Zak Brown has denied he will endure a particularly awkward introduction to life at McLaren this weekend in Abu Dhabi. The duo is expected to elevate McLaren-Honda's performance. He has been involved in several sponsorship deals between McLaren.
Brown's next step must be to make the transition of power as seamless as possible without any distraction seeping into McLaren's army of designers and race-team engineers. But, we do GT racing, and we do electronics in IndyCar and NASCAR.