A la Meuniere literally means "in the style of the miller's wife", that refers to fish and indicates a dusting of flour, fried in butter and served with beurre Meuniere (beurre noir or brown butter with lemon juice and parsley) with lemon juice and parsley.
a la meuniere refers to French dishes made of fish prepared by dredging in flour and sauteing, served with brown butter, lemon juice and parsley. It is a classic cooking technique for fish wherein fish is dredged in flour, sautéed in a clarified butter or oil, sprinkled with lemon juice and fresh chopped parsley, and then finished with hot brown butter.
A la Meuniere is pronounced "a la mun yair".