[2][3] On 7 March 1979, Andone made his Divizia A debut for Corvinul when coach Mircea Lucescu sent him on the field in order to replace Radu Nunweiller in the last 20 minutes of a 2–0 away loss against Sportul Studențesc București.

[2][4][6] In the summer of 1983, Andone and teammate Mircea Rednic were transferred from Corvinul to Dinamo București in exchange for five players which included Nicușor Vlad, Teofil Stredie and Florea Văetuș.

[17][18] Andone then went on to play for the last two seasons of his career in the Netherlands under head coach Fritz Korbach at Heerenveen in the Eerste Divisie, where he was also teammate with Rodion Cămătaru, appearing in 39 league games in which he scored 4 goals.

[4][17][19] Ioan Andone played 55 matches and scored two goals at international level for Romania, making his debut on 11 November 1981 when coach Mircea Lucescu sent him on the field in the 82nd minute in order to replace Aurel Țicleanu in a 0–0 with Switzerland at the 1982 World Cup qualifiers.

[21][22] He made five appearances in which he scored one goal in a 2–0 victory against Sweden at the successful Euro 1984 qualifiers, being used by coach Mircea Lucescu in the 2–1 loss against West Germany at the final tournament as Romania did not pass the group stage.

[17][26][30] He went to coach abroad, having spells in the Arab world at Al-Ettifaq and Al-Ahli, before returning to Europe at Bulgarian club CSKA Sofia where he worked with Romanian players Florentin Petre and Daniel Pancu.