His goal is for Paraguay to be recognized internationally by the time he hands the government over to the next president next year, he said.
Most of the countries opposed to Franco's presidency belong to the Union of South American Nations, known as UNASUR. The foreign ministers of that regional body were in Paraguay to study the issue.
The United States also weighed in a more neutral manner.
"We urge all Paraguayans to act peacefully, with calm and responsibility, in the spirit of Paraguay's democratic principles," State Department spokeswoman Darla Jordan said.