Volkswagen AG chairman Bernd Pischetsrieder vowed on Monday that his company would fight to hold on to its market share in the US even though the car maker is being squeezed by the euro's appreciation against the dollar, Dow Jones reported. But he reportedly said that, at the same time, that there was no question of aggressively cutting prices to maintain market position at a time when the US car market is experiencing fierce competition due to vast overcapacity and high inventories of unsold cars.