The Premier League winners have a slim chance of qualifying for the knockout rounds of the elite European tournament following their 3-1 defeat to Ajax last week.
"Sometimes the way to look at it is not to look at the results," the Manchester Evening News quotes Kompany as saying.
"Last season when we were eight points down with six games to go, the change in attitude was that we said to ourselves 'OK, we're not doing it for the points any more, or to win the league, we are doing it for our own pride, because we know we are better than what we have shown for the last couple of weeks'.
"It's the same now. It's not about us winning three games to get through, but about showing to ourselves that we belong there, and then we will see what happens."
City currently sit at the bottom of Group D, six points behind leaders Borussia Dortmund, who are placed above Real Madrid and Ajax.