Russell, who is currently in his debut season in Formula 1, is teammates with Kubica at the Williams team, with the latter making his F1 comeback after eight years out of the sport.
Kubica has, for the most part, struggled to keep up with Russell this year, failing to out-qualify him this season so far after 12 races.
Russell says that he can only hope to have fans as passionate as Kubica's in the future - but affirmed that he would like to see a level of respect.
"It's a little bit hurtful that 50% of the comments on my posts are hate from Polish supporters, whereas the other 50% is complete support for me," Russell told Autosport.
"I mean, I do truly only care about the view from inside what Williams think of me, what Mercedes think of me. But you also want to be respected from outside.
"I've not come across anyone who's disrespecting me, or giving any hate to me, who are not from Poland. So, I appreciate the situation and I can only hope one day I have fans as passionate as his."
Russell is currently the only driver on the grid not to score a point as Kubica picked up one following the double penalisation of Alfa Romeo at the German Grand Prix.
However, Russell has consistently displayed more speed while competing at the back of the grid, as Williams endures a difficult season.
The Mercedes-backed Briton insists that he wouldn't change anything if he was to do his opening first half to the season again - as it is teaching him to be a better driver
"I think I've done a very good job at some events, and not done such a good job at other events," he said. "But every experience I wouldn't change at all because from those bad events I also learned a huge amount.
"I've had people ask me, knowing what I know now and if I could do the first 10 races again, 'what would you change?'. "I wouldn't change anything because you need those experiences to improve as a person in life, and as a driver."