Cole, whose son Devante plays for City's Elite Development Squad, wrote in The National: "City deserve to be champions; any team top at the end of the season does.
"They beat United home and away and scored more goals. The title victory will give them the confidence to win more trophies.
"The players will feel like the best in England because they are the best in England; the table does not lie. They won't feel inferior to anyone anymore. That's what winning does, it lifts your confidence sky high.
"The mood will be very different among the United players. They'll not want to feel like they do now ever again.
"They'll have to channel that frustration into being stronger next season, into improving and not missing so many chances."