It'll depend on context, like if you haven't seen an acquaintance in a long time, someone could say: 'it's been a hot minute,' or just 'it's been a minute.' It's ironic usage because it's an obviously incorrect, opposite statement. This would be slang usage, like I would maybe expect frat bros to use this expression.
Whereas if you're actively interacting with a person, and they are going to rush off quickly to do something (answer the phone, do a task, etc) they could say 'be back in a hot minute," or just "be back in a minute." This is more like a direct usage of the expression...adding 'hot' is just a slang/stylistic element to the phrase.