Los Blancos have once again reached the semi-finals of the Champions League as they bid to win the European Cup for a third time in succession.
The Madrid giants have been unable to defend their La Liga title, however, and currently sit third in the table - 15 points off runaway leaders Barcelona.
"Many people are happy about our bad results," Marca quotes Vazquez as saying. "It hurts them to see that we have reached eight [Champions League] semi-finals in a row and it creates envy with them.
"We must learn to live with these remarks and accept that this is what they want to focus upon."
Real returned to winning ways in La Liga with a 2-1 success away to the league's bottom club Malaga on Sunday night.