I've had a heart murmur since a child and was accepted for military flying, albeit 50 years ago. The naval doctor was quite excited and asked if I minded him bringing a colleague in to have a listen as "We don't get many of these."
But as Roichi says, get it fully diagnosed early as I understand there are different 'types' and some might be a problem. Like malignant or benign cancers I guess.
You may want to check out my post about cardiac testing and related resources. The thing with murmurs (which is usually valvular regurgitation, although a heart shunt can create a murmur too), it all depends on how much the valve is leaking. All valve "leak" to some degree. They are not made out of titanium. As long as it is not more than mild, I would imagine you should be good (I'm not a Doc though; I'm a tech), but you will be required to have it monitored.