Joelinton will have the number nine shirt, which has been worn by some of the club's top strikers including all-time top scorer Alan Shearer.
Julian Nagelsmann had repeatedly spoken of his desire to guide the club back into European competition before he leaves them for RB Leipzig.
Pavel Kadeřábek scored the equaliser in the second minute of stoppage time.
The quickest goal City had ever conceded in the competition was another shock to their system after their loss to Lyon, their only defeat of the season in any competition so far.
British media reported Aguero had picked up the injury against Newcastle United early last month.
Hoffenheim coach Julian Nagelsmann dreams of claiming a victory over legendary Manchester City coach Pep Guardiola.
Christian Pulisic's goal gave Borussia Dortmund a 1-1 draw against Hoffenheim.
Bayern has now lost three players in as many league matches as France winger Kingsley Coman also tore ankle ligaments after being fouled on the opening day of the season against Hoffenheim.
Nelson is regarded as one of the brightest talents in English football having already played 16 times for the Gunners.
Niko Kovač expects his Bayern Munich team to beat Hoffenheim.