Azerbaijan says it will guarantee their rights and integrate the region but the leadership of the Armenians in Karabakh stated that they would leave.
The Armenians of Karabakh, which is internationally recognized as part of Azerbaijan, were forced to declare a ceasefire earlier this week.
SkyStriker was used to devastating effect by Azerbaijan in the 2020 Nagorno-Karabakh war.
Azerbaijani President Ilham Aliyev said the country had had regained full sovereignty over its territory and now wished to integrate Karabakh's population and turn the region into "paradise."
Azerbaijan this week sent troops backed by artillery strikes into the region in an attempt to bring the breakaway the Armenian-controlled Nagorno-Karabakh region to heel.
In areas outside Baku, which have been affected by military operations, painstaking efforts are underway to restore what was destroyed during decades of conflict.
Azerbaijan claimed it was carrying out anti-terrorist activities after a mine killed six people in the contested Nagorno-Karabakh.
Azerbaijan blamed "illegal Armenian armed groups" for laying the deadly mines.
There appeared to be no immediate response to the offer from Azerbaijan.
The Armenian leaders were discussing the contested region of Nagorno-Karabakh between them and Azerbaijan.