The right way is passing football on the ground, not in the clouds (Brian Clough). It involves passing the ball to each other with purpose. It does not feature a series of aimless long, high punts. It sees no virtue in turning a game of football into a 90 minute game of chance as to which players can win the next loose ball, given away quite deliberately. It utilises skilled midfield players, rather than giving them stiff necks as the ball flies stratosphere-bound over their heads.
The right way has been employed for decades. From the great Hungarian team that ran rings around a plodding England that thought it was top of the tree, right through Milan, Ajax and Juve to the Barca, Real, and Bayerns of today. It's the football that wins games, leagues and trophies. It's the game played by the sublime Pele, Cruyff, Beckenbauer and Messi (and their lesser equivalents lower down the ladders). It is a mystery to Vinny Jones and Wally Downes. Wally Fucking Downes.
Managers and players alike; week-in; week-out, speak of playing the game the right way, sometimes it is expressed as "playing football".