Legal Question in Business Law in Michigan

Yes - in a federal court

I am assuming -

1) there was at least one US party

2) the contract stated rights to sue without taking jurisdiction out of country

3) business got done here in US

4) foriegn party was not paid

It certainly does. Ordinarily a foreign company has the right to sue a US party in state court.

It may be able also to sue in federal court if there is sufficient diversity of the parties (e.g. one party domiciled in France, the defendant domiciled in Michigan) but the plaintiff must also have a claim in excess of the jurisdictional amount of $75,000. This substantial barrier to federal jurisdiction tends to relegate a lot of claims to state court.

It doesn't matter where the business was done. As long as there is personal jurisdiction over the defendant, the foreign party has the right to sue in state court and, if the jurisdictional amount is satisfied, in federal court as well.