cause to be more favorably inclined; gain the good will of
She managed to mollify the angry customer.
source: WordNet 3.0
overcome or allay
Quell my hunger.
source: WordNet 3.0
make peace with
source: WordNet 3.0
To make quiet; to calm; to reduce to a state of peace; to still; to pacify; to dispel (anger or hatred); as, to appease the tumult of the ocean, or of the passions; to appease hunger or thirst.