Pound pork between sheets of plastic wrap to ⅛ inch thick.
Season with salt and pepper; dredge in flour, shaking off excess.
Heat 1 tablespoon butter in a large skillet over medium-high. Add half of pork in a single layer and cook, flipping once, until browned, 2 to 3 minutes. Transfer to a plate. Wipe skillet clean and repeat with 1 tablespoon butter and remaining pork; transfer to plate.
Add remaining 1 tablespoon butter and mushrooms to skillet; season with salt. Cook, stirring occasionally, until golden, about 8 minutes.
Add garlic; cook, stirring, 1 minute more.
Stir in mustard and broth; cook until reduced by half, 10 minutes.
Stir in artichoke hearts and cream.
Return pork and any juices to skillet; cook until thickened slightly, about 3 minutes.
Stir in parsley; serve.
