The executive told Newsarama that the comic book giant is "better off when DC is strong" because it helps strengthen the infrastructure of the marketplace.
Brevoort said: "Marvel is actually better off when DC is strong - strong sales-wise and creatively. So success for DC helps everybody, because it makes the infrastructure of our marketplace stronger, it brings more dollars into the market and more eyeballs into the stores.
"I have absolutely no qualms or fears. I welcome the chance to battle it out with the competition on the racks."
Brevoort went on to say that Marvel's greatest fear is securing too much of the marketshare, as that would be an "untenable situation for growth".
He added: "We want retailers to be financially successful; consequentially, we want all the other companies to be successful. We want to be more successful than they are, and we work very hard at that every day."
DC launched its 'New 52' initiative last week, overhauling its entire line. Brevoort previously stated that Marvel has no plans to adopt a similar strategy.