The appeal reflects another point of tension between the moderate-leaning government of President Hassan Rouhani and Iran's hard-liners. Rouhani does not have the authority to make decisions such as freeing up social media, which is seen as an internal security matter and under the sway of groups such as the powerful Revolutionary Guard.
The report by IRNA quotes Culture Minister Ali Jannati as saying all social networks, particularly Facebook, should be accessible.
Some government officials, including Foreign Minister Mohammad Javad Zarif, post extensively on Facebook and Twitter. Many ordinary Iranians use proxy servers and other methods to bypass the ban.