Pfister, who has also coached Ghana and Senegal, was previously in charge of the Democratic Republic of Congo from 1987 to 1989 when the country was still known as Zaire.
He was named on a short list of possible candidates released by officials to local media.
Others on the list include Frenchmen Claude Le Roy, a former national coach in Cameroon and Senegal, and Elie Baup, who worked at French Ligue 1 club Girondins Bordeaux.
Officials said they were also keen to talk to Serge Deveze, who has considerable experience in Africa, and the Lens coach Joel Muller.
The Democratic Republic of Congo employed Englishman Mick Wadsworth on a short term contract to coach the team at the African Nations Cup finals in Tunisia, where they lost all three of their first round group matches.
Youssef Zouaoui has become the third coach to take over at Club African this season.
Zouaoui took Esperance to the Tunisian title last season but was replaced in December when they failed to reach the final of the African Champions League. He is also a former national coach of Tunisia.
Club Africain lie seven points behind leaders Esperance in the Tunisian first division table with nine rounds of the season left.
Former international Arthur Zwane has had his two-year ban for doping reduced to six months on appeal by the South African Football Association.
The Kaizer Chiefs winger, who won five caps for South Africa, was banned in January after testing positive for methyl-testosterone. He was also given a 25,000 rand ($3,739) fine.
Zwane will now be allowed to return to action at the start of next season in August.
Chiefs suspended international Jabu Pule for 30 days on Monday after he went missing before a cup tie last month.
Frenchman Michel Troin has resigned as coach of the Ivory Coast Olympic team after the side's failure to qualify for the Athens Games in August.
Troin announced his decision after the 2-1 win over Mali in Abidjan on Sunday, which still left the Ivorians unable to catch up with group leaders Cameroon.