I've just found
a WCIOM poll which is probably the poll mentioned in this article (though it was conducted not by Izvestia, which is a newspaper, but by WCIOM, and some numbers are the same, but some others are different; either way, WCIOM poll deserves more trust than a poll allegedly conducted by a newspaper and cited without any links by a monarchist web site).
Actual results, as usual, depend on what exactly people are asked.
What form of government better is better for Russia?
Monarchy - 8 % (down from 11 % in 2013)
Republic - 88 % (up from 82 %)
What opinion about monarchy is closer to you?
I support monarchy and see a person who could become a monarch - 6 %
I am in principle not opposed to monarchy but do not see a person who could become a monarch - 22 %
I oppose monarchy - 68 %
Younger people tend to be very slightly pro-monarchy (among people aged 18-24 results are 7 %, 26 % and 64 % respectively, among people in 60+ group they are 3 %, 13 % and 79 %, difference with other age groups is less significant). In Moscow and St. Petersburg indeed 37 % chose the first or the second option, although it is obviously incorrect to group them as "supporters of monarchy restoration".
These numbers are believable and are fairly stable since 2006 when this question was asked for the first time. It worth note that restoration of monarchy was never seriously discussed and if it will started to be discussed regularly public opinion can change. For example, in an extremely unlikely case if Putin and Russian media will start agitate people for monarchy (maybe Putin will decide to declare himself a monarch, or, which is less hilarious, to become Russian Francisco Franco), pro-monarchist sentiments could rise massively.
