The subjunctive is needed in this sentence "Quiere que le des la maleta" because the verb "quierer" (to want) is expressing a desire or request for someone else to do something (give him the suitcase). The use of the subjunctive indicates that the action of giving the suitcase is uncertain or dependent on the speaker's request. full sentences
Él quiere que le des la maleta.
Ella quiere que le des la maleta.