No. Erotic content, whether male - centered or not, often strays from the main purpose of literature which is to convey complex ideas, emotions, and human experiences in a more refined and inclusive way.
In the world of literature, there is a difference between works that explore human relationships and sexuality in a tasteful and meaningful way and what is considered erotic. Erotic short stories, especially those focused on a specific gender in an overly sexual way, are not generally regarded as acceptable in mainstream literature. Literature should be more about the exploration of the human condition, values, and culture rather than pure sexual stimulation. So, free male erotic short stories are not acceptable in the context of proper literature.
Most literary critics and scholars would not consider free male erotic short stories as acceptable within the realm of 'true' literature. While literature can deal with themes of love, sex, and relationships, it is done with a certain level of sophistication and purpose. Erotic short stories that are simply about sexual encounters of male characters in an explicit way lack the depth and breadth that is expected in good literature. They may be considered more in the realm of pornographic or semi - pornographic works rather than legitimate literature.