The supporters sang and chanted slogans today in support of Mugabe, who has been in power for 36 years.
Discontent has been growing over Zimbabwe's deteriorating economy and alleged corruption and human rights abuses.
A nationwide job boycott called via social media by a church pastor, Evan Mawarire, earlier this month received a huge response not seen in close to a decade.
Mugabe yesterday criticised Mawarire for the first time publicly by name, urging him and his supporters to leave Zimbabwe if they are unhappy with conditions at home.