Commercial Fixed Wing
Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP)
Communication Breakdown
ATC Issue All Types; Ground Event / Encounter Other / Unknown
General None Reported / Taken
Staffing; Airport; Human Factors
Takeoff on Runway XXR full length. At around rotation got a push to the right.  Rotated safely and the airplane was climbing normally and no abnormal indications on the ECAM. There was however a heavy aircraft sitting perpendicular waiting to cross Runway XXL. Captain asked if they were cleared to cross that runway because our push to the right seemed to happen around the same time we passed them. Can't really remember what the response was from the Controller.They need to staff the ATC facilities properly. One person handling more than one frequency; or both Ground and Tower. This is not just ZZZ. ZZZ1 is also bad when you add construction to the mix.
Air carrier First Officer reported possible jet blast from a heavy aircraft crossing a parallel runway; while departing.