Saleh called on the opposition to cancel their protest after announcing a freeze on proposals that would have allowed him to remain president for life.
"Thursday's demonstration will continue as scheduled," said Mohammed Kahtan, a member of the Islamist Al-Islah (Reform) party in the Yemeni consultative council.
And Mohammed al-Sabri, a leader of the parliamentary opposition alliance, the Common Forum, called Saleh’s demand “unacceptable".
"We will look into the president's speech, although his announcements came late," he said.
In central Sanaa on Wednesday, dozens of armed men from Saleh's General People's Congress were seen setting up tents in Al-Tahreer square and carrying portraits of the president.