Air carrier flight crew reported a track heading deviation.

Attributes
ACN	1761490
Time
Date	202009
Local Time Of Day	0001-0600
Place
Locale Reference	ZZZ.Airport
State Reference	US
Aircraft 1
Make Model Name	Commercial Fixed Wing
Operating Under FAR Part	Part 121
Flight Phase	Takeoff Climb
Flight Plan	IFR
Person 1
Function	Pilot Not Flying
Qualification	Flight Crew Air Transport Pilot (ATP)
Person 2
Function	Pilot Flying
Qualification	Flight Crew Air Transport Pilot (ATP)
Events
Anomaly	ATC Issue All Types Deviation - Procedural Clearance Deviation - Track / Heading All Types

Narrative:

We were cleared for takeoff on runway xr in ZZZ. Both myself and the other pilot heard the phrase from the controller 'runway xr cleared for takeoff.' we did not hear any other instructions. We were on the zzzzz 2 departure. It states to fly heading 011 until reaching 820 feet then heading 340 or assigned by ATC. We started our turn at 820 feet and a few seconds later the controller told us to immediately turn and fly runway heading. No other problems came about from this situation. It seems like there was some miscommunication between the pilots and ATC. We were flying the appropriate procedures and did not hear ATC tell us to fly runway heading you're cleared for takeoff runway xr. Both pilots only heard 'runway xr cleared for takeoff.'

Original NASA ASRS Text

Title: Air carrier flight crew reported a track heading deviation.

Narrative: We were cleared for takeoff on Runway XR in ZZZ. Both myself and the other pilot heard the phrase from the Controller 'Runway XR cleared for takeoff.' We did not hear any other instructions. We were on the ZZZZZ 2 departure. It states to fly heading 011 until reaching 820 feet then heading 340 or assigned by ATC. We started our turn at 820 feet and a few seconds later the Controller told us to immediately turn and fly runway heading. No other problems came about from this situation. It seems like there was some miscommunication between the pilots and ATC. We were flying the appropriate procedures and did not hear ATC tell us to fly runway heading you're cleared for takeoff Runway XR. Both pilots only heard 'Runway XR cleared for takeoff.'

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.