Here are some possibilities, depending on what specific aspect of "imbroglio" you want to contrast:
If you're thinking about the complexity and confusion:
* Clarity: A clear situation with no ambiguity.
* Simplicity: A straightforward situation without complications.
* Harmony: A peaceful and well-ordered situation.
* Order: A well-organized and structured situation.
If you're thinking about the negative connotations:
* Success: A positive outcome or achievement.
* Agreement: A state of mutual understanding and accord.
* Peace: A state of tranquility and harmony.
* Resolution: A successful solution to a problem.
If you're thinking about the specific context of an "imbroglio":
* Trivial matter: A minor issue or problem.
* Straightforward task: A simple and easily understood task.
* Pleasant situation: A comfortable and enjoyable circumstance.
To give you the most accurate antonym, please provide some context about how you're using "imbroglio". For example, are you talking about a political imbroglio, a personal imbroglio, or something else?