The comments, in a statement published on Khatami's website, follow an influential strategic role he played in February 26 elections in which reformists won many parliamentary seats.
Iranian media are not allowed to use pictures of Khatami, who was president between 1997 and 2005, or to quote him, because of a ban imposed by Tehran's prosecutor.
The restrictions were imposed after Khatami backed Mir Hossein Mousavi and Mehdi Karroubi, the defeated reformist candidates in a disputed presidential vote in 2009 which saw Mahmoud Ahmadinejad re-elected.
"Compared to the issues after the 2009 election, right now the whole of society and political groups have a relative feeling of satisfaction, although this satisfaction is not complete," he was quoted as saying.
Also Read
"The security atmosphere and the climate that exists right now... Is not befitting to the people of Iran.
"We must all try so that the reputation of the system is not damaged and to have an open atmosphere for everyone's participation, to remove restrictions and limitations."
"The participation of these three honourable figures was very influential in encouraging people to come to the ballot boxes.
"Today this situation should be paid attention to. No one should feel in this election that they have been defeated.