The two clubs, who will be playing out a repeat of the 1997 UEFA Cup final which the Germans won 1-0, are both mired in domestic woes that have overshadowed the build-up to a tie defending champions Inter are favourites to win.
Inter, treble winners last season under Jose Mourinho, are still brooding following Saturday's 3-0 loss to rivals AC Milan which all but ended their hopes of a sixth successive scudetto and exposed coach Leonardo's technical failings.
Magath was fired in mid-March with club chairman Clemens Toennies saying there were "very good reasons" but refusing to elaborate.
However, the famously die-hard supporters had become increasingly critical of Magath's far-reaching powers and controversial transfers while the team's shaky domestic form did not help either.
Inter's Argentine midfielder Javier Zanetti, the only survivor of the 1997 meeting on either side, called on his team mates to put Saturday's disappointment behind them.
"It's not nice to lose that type of game, it' a disappointment to everyone but we have to look forward," he told Inter's website ahead of the first leg.
Inter's Brazilian central defender Lucio is suspended with Colombian Ivan Cordoba expected to take his place alongside Andrea Ranocchia in the centre of the defence.
Schalke 04's defender Christoph Metzelder suffered a broken nose against St Pauli but may play with a protective face mask.
Kluge's injury is an added worry for Rangnick as Ghana midfielder Anthony Annan, his natural replacement, is not eligible for the Champions League.
Inter Milan: 1-Julio Cesar; 13-Maicon, 2-Ivan Cordoba, 15-Andrea Ranocchia, 26-Cristian Chivu; 4-Javier Zanetti, 17-Esteban Cambiasso, 8-Thiago Motta; 10-Wesley Sneijder; 9-Samuel Eto'o, 27-Goran Pandev
