Suspension is double wishbone front and rear, with push rod operated springs and dampers on the chassis. – one exception being that of the 2009 specification Red Bull Racing car which used pull rod suspension at the rear, the first car to do so since the Minardi in 2001. read more
Well its not true that F1 teams prefer push-rod suspensions only. For e.g. almost all F1 cars in the past few years have been using pull-rod suspensions at the rear. Or the Ferrari F2012 raced in 2012 was introduced with pull-rod suspensions at the front and rear. So lets not think of push-rod suspensions specifically. read more
Also a pull rod will flex in droop (wheel going down) and push rod will flex with the wheel in bump (wheel going up) hence F1 push or pull rods are large carbon molding to withstand the flexing from the high wheel loads. read more