Though they’re known as “the spice rack of the bar cart,” cocktail bitters are nothing more than concentrated botanical extracts, and you can use them to flavor all sorts of things, including whipped cream. As I’ve mentioned previously, they won’t aggressively flavor your cream, but it will give it a sophisticated edge:
Flavor-wise, adding bitters to your cream won’t make it taste strongly of something else, but it will make it taste better, more nuanced, and more sophisticated. Plain Angostura will serve you fine, but I think orange bitters would be particularly nice, and this could be a good use for any “artisanal” flavored bitters sets you were gifted at a work gift exchange.