All we need to do is stretch out our hand and take it, said Pasjinjan.
He simultaneously urged Azerbaijan to sign a treaty that he believes would end the long-standing conflict between the neighboring countries.
Azerbaijan and Armenia in the Caucasus have been in military conflict over, among other things, the breakaway region of Nagorno-Karabach, which took an abrupt turn when Azerbaijani forces captured the region in a military offensive last September.
In his UN speech, Pasjinjan said he was ready to meet Azerbaijan's demands to allow transportation across Armenian territory to the Azerbaijani exclave of Nakhichevan, which borders Turkey.
Exactly how such a corridor would look, and who would control it, has been a clear conflict area that has also raised fears of an all-out war.
