Um, that wouldn't change if Google "sells Chrome", though.
Firefox uses Google Search as a default, so does every Samsung phone (and most other Android devices).
Unless the DOJ is telling everyone not to implement a default search engine (and let the user decide upon first opening the browser), then who owns Chrome really doesn't change much.
Other remedies the government is asking the court to impose include prohibiting Google from offering money or anything of value to third parties — including Apple and other phone-makers — to make Google’s search engine the default,
This is the only thing that makes sense, but "sell Chrome" is a laughable request.
Google regularly abuses their market share dominance in browsers in order to push for changes to web standards that benefit them, such as their web integrity api (which would have prevented blocking ads). This is monopolistic behavior, and the largest ad company on the planet shouldn't get to decide web standards.
As a side note: both firefox and Samsung are paid handsomely (just like apple) to have Google as a default search engine. This also is monopolistic behavior, if you built a better product than them then you couldn't outspend them to get to the same position.
Oh, yeah, don't get me wrong, Google is highly unethical, and I avoid any and all Google related products whenever possible.
Selling Chrome, however, doesn't really stop them from doing damage.
The part about not allowing them to bribe pay other companies to use their search is a much better idea.
And regarding their influence over the internet... we need stronger regulation to prevent any company from having that much control over an essential service.