If any country can surpass Russia's endeavor to send the Olympic torch on a spacewalk, Chernyshenko would like to see them try, he told local media.
"We have shown the entire world what we are capable of very vividly...If anyone can do better, let them try," sports media R-Sport quoted him as saying.
At about 1450 GMT on Saturday, the unlit torch was taken out from the International Space Station (ISS) by Russian cosmonauts Oleg Kotov and Sergey Ryazanskiy.
Millions of watchers around the world followed the live webcast of the event. "The reaction across the globe has been extremely positive. Everyone has been talking about it, it's had immense attention and there has been real respect, without irony, that Russia has put a torch in space," Chernyshenko said.
According to the official, the ideal of the space relay was to unite the whole nation around this event.
The torch will stay at the ISS until Monday before it will be brought back to Earth by Russian cosmonaut Fyodor Yurchikhin, USastronaut Karen Nyberg and Italian Luca Parmitano.
The "space" torch will be used to lit the main Olympic flame during the opening of the Sochi Winter Olympics on February 7.