"I would say that the Annan plan is on track and a crisis that has been going on for over a year is not going to be resolved in a day or a week," Fawzi said.
"I agree with you that there are no big signs of compliance on the ground. There are small signs of compliance."
Annan's six-point plan includes a ceasefire, deployment of observers and free access for journalists and humanitarian aid.
About 50 observers and civilian staff have been deployed in Syria, but violence has continued since an April 12 truce.
"Some heavy weapons have been withdrawn, some heavy weapons remain. Some violence has receded, some violence remains," Fawzi said. "I'm not saying that is satisfactory".
"There are signs on the ground of movement, albeit its slow and small. There are also signs behind the scenes you don't see because this mediation effort by definition is conducted below the radar."
Syrian security forces and students armed with knives stormed a protest march at Aleppo University early on Thursday, activists said, killing four and rounding up 200 demonstrators demanding President Bashar al-Assad step down.