The disclosed apparatus may include (1) a cage that houses at least one field-replaceable electronic module that, when operational, emits heat within a computing device, wherein the cage comprises (A) a front entry side that facilitates installation of the field-replaceable electronic module and (B) a back side that is located opposite the front entry side, (2) a heatsink that removably interfaces with the field-replaceable electronic module when the field-replaceable electronic module is installed in the cage and (3) a spring mechanism that (A) is coupled to the back side of the cage and (B) applies force to the heatsink such that the heatsink (I) is pressed against the field-replaceable electronic module and (II) establishes thermal contact with the field-replaceable electronic module to facilitate heat transfer from the field-replaceable electronic module to the heatsink. Various other apparatuses, systems and methods are also disclosed.