Commercial Fixed Wing
Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument
Workload; Communication Breakdown
ATC Issue All Types; Deviation / Discrepancy - Procedural Clearance
General None Reported / Taken
Airspace Structure; Human Factors; Procedure
On ILS final to Runway 22 at LGA; we were given a 'Continue; clearance at the FAF.' Tower sent the aircraft ahead of us around due to traffic on the runway. We discussed that we might have to go-around on a missed approach as well. At 500ft I transmitted our call sign to get the attention of Tower. Tower ignored us. They were trying to tell an aircraft that had taken off to switch to the Departure frequency. We broke out at 400'; and I asked Tower if we were cleared to land. Tower responded with; 'Thanks for the interruption.' We finally got clearance to land inside of 200ft. After landing; Tower gave us a phone number to call. I called a company [representative] instead. He called the number and then called me back. He said it was worked out; but suggested I still do a Report. When we are getting that close to the runway we need to hear something so that we don't have to block a transmission trying to get clearance to land.
Once cleared for the approach; on final; and switched to Tower; we were told to 'continue.'  It was night and in IMC. Once we broke out at around 500'AGL; we had still not received clearance to land. The Pilot Monitoring keyed the MIC and said call sign only. At around 300'; the Pilot Monitoring asked for clearance to land. Tower stated: 'Aircraft X; you're cleared to land Runway 22. Thanks for the interruption. I've got a number for you to call on the ground.' We landed uneventfully and Tower passed a land line number which we passed to the Company. We just wanted to ensure we landed with clearance (we did). The Tower guy was actively working another aircraft who went missed approach and was very short with us in my opinion as we just wanted to make sure we had clearance or to go missed approach. The Tower could have offered a quick explanation when we were told to 'continue' to give us better situational awareness to expect a very late landing clearance.
Flight crew reported they had to prompt Tower for landing clearance very late due to frequency congestion at LGA.