Can I cook Ignacio Matto’s Grilled Favas on the Stove?

The hands down best way to enjoy whole fava bean pods is deep fried. This works best for pods that are about the size of a finger.

I've had them done this way coated in a light tempura batter from a local restaurant. While they usually serve these with a garlic aioli, I find myself enjoying them more with a squeeze of lemon wedge and salt.

You can't find fava bean pods this size at a typical grocery store. You have to pick them out yourself at a farmers market stand or grow the fava beans yourself.

When I grill them, I still do not eat the pod. You can certainly cook them on a stove top.
If you have really tender ones and want to eat the whole pod, I recommend slicing/braising.

There are recipes for oven-roasted or sautéed whole Fava beans.
Whether you can get away without any shelling of the beans depends on how tender, small or young the pods are.