>>33358932 (OP)I believe you were looking for the phrase "come on in" or "come on through."
The phrase "come on" alone is often used in the context of exasperation. You might see people use it as an exclamation while watching sports. "Come on!!!" meaning the referee made a bad call or the players made a bad play. Often paired with things like, "Come on! Are you kidding me? Fuck!"
If someone was going to read into your words particularly negatively they may be wondering if your unsaid meanings were, "Come on, are you really just going to stand there? Hurry up, you're making this weird"