The Frenchman, 60, quit on 9 May after failing to overturn his ban from all football activities.
Platini was found guilty of ethics breaches over a 2m Swiss Franc (£1.3m) payment he received from Fifa.
Dutch football chief Michael van Praag, a Uefa vice-president, says he intends to stand for election, with the deadline for entries set at 20 July.
Other possible replacements include Slovenian federation president Aleksander Ceferin and Uefa vice-president Angel Maria Villar from Spain.
Uefa interim secretary general Theodore Theodoridis said the 55 national federations would vote at an extraordinary congress in Athens, Greece.
The new president will complete Platini’s term, which runs through March 2019, and become a Fifa vice president.
Platini, a former France captain and three-time Ballon d’Or winner, was initially banned for six years but had the punishment cut to four years.