Albert Barnes Commentary Acts 19:38

"If therefore Demetrius, and the craftsmen that are with him, have a matter against any man, the courts are open, and there are proconsuls: let them accuse one another." — Acts 19:38 (ASV)

Have a matter against any man. Have a complaint of injury; if injustice has been done to them by anyone.

The law is open. See the margin. agoraioi agontai, i.e. hmerai. There are court days; days which are open, or appointed for judicial trials, where such matters can be determined in a proper manner. Perhaps the courts were then held, and the matter might be immediately determined.

And there are deputies. Roman proconsuls. See Barnes on Acts 13:7.

The cause might be brought before them with the certainty that it might be heard and decided. The Syriac reads this in the singular number: "Behold, the proconsul is in the city."

Let them implead one another. Let them accuse each other in the court; i.e., let them defend their own cause, and arraign one another. The laws are equal, and impartial justice will be done.