There are now no diplomatic relations between Armenia and Azerbaijan, primarily because of the ongoing Nagorno-Karabakh conflict, and as a policy Azerbaijan denies issuing entry visas to Armenian nationals or even people with Armenian surnames.
Qarabag of Azerbaijan and Vorskla of Ukraine also make up a relatively favourable group for Unai Emery's side.
As for Chelsea, they face some long trips on their return to Europe's second-tier competition for the first time since they lifted the trophy in 2013.
This season's final will be on May 29 next year at the Olympic Stadium in Baku, Azerbaijan.
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Scottish champions Celtic are in pot two, having been knocked out in the Champions League third qualifying round by AEK Athens and then got past Lithuania's Suduva in their Europa League qualifying play-off.
Chelsea will also have some travelling to do after they drew Belarus side BATE Boris, Hungarians Vidi and Greek side PAOK in Group L.
'We've talked to the player again, and it's the best decision for all involved.
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"It is a standard procedure for UEFA to send letters of support to associations, clubs or embassies in order to obtain visa for players in order to be able to travel to another country and play in UEFA competition matches", the governing body said.
Rangers, managed by former Champions League victor Sveven Gerrard, enjoyed better fortunes among the British contingent when they advanced 2-1 on aggregate after holding Russian side FC Ufa to a 1-1 away draw despite ending the contest with nine men.
Celtic meet Salzburg, RB Leipzig and Rosenborg while Rangers face Rapid Vienna, Villarreal and Spartak Moscow.
Steven Gerrard's Rangers are also facing a hard group stage, having been pitted against Villarreal, Rapid Vienna and Spartak Moscow in Group G.
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The first set of group fixtures take place on September 20.