A320 Captain reported landing safely following an ECAM alert for low fluid quantity in the Green hydraulic system.

Narrative

During our approach into ZZZ ILS XXR and after the landing gear extension; we received a Green Hydraulic Reservoir Low Level ECAM alert. We accomplished the immediate ECAM action items and reviewed the affected aircraft system components. I made the decision to land the aircraft given the weather conditions (VMC/dry runway) and the runway length for ZZZ XXR (11;000+ feet); our fuel status at the end of a mid-flight reroute (6;000 lbs); and most importantly; the lack of aircraft performance due to the high density altitude at ZZZ and the inability to retract the landing gear (associated with the hydraulic failure) in conjunction with the high terrain surrounding the ZZZ airport. [Assistance was requested] with the ZZZ Tower and Crash Fire Rescue (CFR) responded to our aircraft. The landing was accomplished without further incident. The aircraft was stopped on the runway and our inflight crew members were instructed to remain seated while we coordinated with ATC/CFR and monitored the affected aircraft systems. The passengers were informed of the situation and the aircraft was towed off the runway and to the gate (due to the loss of steering control associated with the hydraulic failure). An ACARS message was sent to Dispatch informing them of the situation.