A total of 64 teams from 31 UEFA member associations participate in the 1982–83 UEFA Cup. The association ranking based on the UEFA country coefficients is used to determine the number of participating teams for each association:
Associations 1-3 each have four teams qualify.
Associations 4-9 each have three teams qualify.
Associations 10-22 each have two teams qualify.
Associations 23-33 each have one team qualify.
Association ranking
For the 1982–83 UEFA Cup, the associations are allocated places according to their 1981 UEFA country coefficients, which takes into account their performance in European competitions from 1976–77 to 1980–81. As Albania did not play, Italy obtained a special place.
Teams
The labels in the parentheses show how each team qualified for competition:
Sevilla won 6–1 on aggregate. ---- Bohemians won 7–1 on aggregate. ---- 1–1 on aggregate. KSC Lokeren won on away goals rule. ---- Corvinul Hunedoara won 4–1 on aggregate. ---- Kaiserslautern won 6–0 on aggregate. ---- Saint-Étienne won 4–1 on aggregate. ---- FK Sarajevo won 6–4 on aggregate. ---- Hajduk Split won 8–1 on aggregate. ---- BaníkOstrava won 4–1 on aggregate. ---- Śląsk Wrocław won 3–2 on aggregate. ---- 3–3 on aggregate. Viking won on away goals rule. ---- Anderlecht won 6–1 on aggregate. ---- IK Brage won 4–3 on aggregate. ---- 2–2 on aggregate. IFK Norrköping won on away goals rule. ---- Bordeaux won 6–3 on aggregate. ---- 3–3 on aggregate. Werder Bremen won on away goals rule. ---- Ferencvárosi won 3–2 on aggregate. ---- HFC Haarlem won 5–4 on aggregate. ---- 2–2 on aggregate. PAOK won on away goals rule. ---- FC Zürich won 3–2 on aggregate. ---- Benfica won 4–2 on aggregate. ---- Roma won 4–3 on aggregate. ---- Rangers won 2–0 on aggregate. ---- Dundee United won 3–1 on aggregate. ---- 2–2 on aggregate. Napoli won on away goals rule. ---- Servette won 4–0 on aggregate. ---- Spartak Moscow won 8–4 on aggregate. ---- Universitatea Craiova won 3–2 on aggregate. ---- Valencia won 2–1 on aggregate. ---- Porto won 3–0 on aggregate. ---- ShamrockRovers won 7–0 on aggregate. ---- Köln won 6–0 on aggregate.
Universitatea Craiova won 5–0 on aggregate. ---- FK Sarajevo won 8–4 on aggregate. ---- Valencia won 1–0 on aggregate. ---- Bohemians won 4–0 on aggregate. ---- Werder Bremen won 8–2 on aggregate. ---- 1–1 on aggregate. Roma won 4–2 on penalties. ---- Benfica won 4–1 on aggregate. ---- Bordeaux won 5–4 on aggregate. ---- FC Zürich won 2–1 on aggregate. ---- Kaiserslautern won 4–1 on aggregate. ---- Köln won 6–2 on aggregate. ---- Spartak Moscow won 5–1 on aggregate. ---- Dundee United won 3–1 on aggregate. ---- Sevilla won 4–2 on aggregate. ---- Anderlecht won 6–3 on aggregate. ---- Servette won 7–1 on aggregate.''
Third round
First leg
Spartak Moscow played their home match at Lenin Dinamo Stadium, Tbilisi, instead of their regular stadium Central Lenin Stadium, Moscow, due to intense cold and severe snowfalls expected in Moscow. ---- ---- ---- ---- ---- ---- ----
Second leg
Universitatea Craiova won 2–1 on aggregate. ---- Roma won 2–1 on aggregate. ---- Anderlecht won 6–2 on aggregate. ---- Bohemians won 4–3 on aggregate. ---- Valencia won 2–0 on aggregate. ---- Dundee United won 3–2 on aggregate. ---- Kaiserslautern won 4–1 on aggregate. ---- Benfica won 5–1 on aggregate.
Quarter-finals
First leg
---- ---- ----
Second leg
3–3 on aggregate. Universitatea Craiova won on away goals rule. ---- Anderlecht won 5–2 on aggregate. ---- Bohemians won 1–0 on aggregate. ---- Benfica won 3–2 on aggregate.
Semi-finals
First leg
----
Second leg
1–1 on aggregate. Benfica won on away goals rule. ---- Anderlecht won 4–1 on aggregate
Ipswich Town 
PSV Eindhoven 
Athletic Bilbao 
Anderlecht 
Lokomotive Leipzig 
Fiorentina 
Benfica 
Levski Sofia 
Ferencváros 
Lyngby 
Grazer AK 
Glentoran 
Trabzonspor 
Pezoporikos Larnaca 
Progrès 
Fram 
Zurrieq 
KPT Kuopio