IIRC, the UN did not vote on the right to chase Saddam's army back to Baghdad. They only sanctioned the liberation of Kuwait.
So, it would have been without international appoval if we didn't cease fire when we did.
The US had virtually the whole world with us during the first Iraq War. Concerning the premature decision to end the first Gulf War, the Saudis, Qataris and other Arab Gulf countries were against Bush Sr's decision. In fact, Newsweek reported British Gulf commander Gen. Sir Peter de la Billiere went "ballistic" and British Foreign Secretary Douglas Hurd--who happened to be in Washington--jumped Bush about it immediately, unfortunately to no avail."
The cease fire decision in the first Iraq War was not made by international approval. Use common sense, if you were an Arab leader living in the surrounding countries would you want Saddam Hussein (a loose cannon) to remain in power to destabilize the Middle East region?