The agreement, aimed at ending 14 years of civil strife, has been opposed by pro-Iranian Shiite groups.
A pro-Iranian group believed to be holding three American hostages in Beirut said today that it would release one of them within 48 hours.
Apparently appealing to pro-Iranian groups holding the captives, he said, "Those who hold hostages, don't harm them."
A pro-Iranian group threatened to harm its American hostages if the French did not pull back.
But the authorities said they could not say with certainty that the pro-Iranian group was responsible.
Nine Americans are believed to be held hostage by pro-Iranian groups in Lebanon.
The hope just was that "they could perhaps influence" the pro-Iranian groups that hold the hostages in Lebanon.
A pro-Iranian Shiite fundamentalist group has claimed responsibility for his abduction.
A short while later, two French hostages were released from Beirut by pro-Iranian groups holding them.
Paris took the steps after threats from Iran and pro-Iranian groups.