Soften the cream cheese using an electric mixer (or a wooden spoon as mentioned).
Mix in the flour.
Break the eggs one by one and mix well (use your hands if needed, as advised… especially if you started with a wooden spoon).
Add the salt and sugar.
Gradually pour in the milk and mix.
Dip the apple pieces into the batter.
Melt the butter in a pan over medium heat and cook the beignets on both sides until golden brown.