His uncertainty at San Siro stems from protracted talks about a new contract.
The situation has thrown the future of Icardi into doubt and there will plenty of interest from some of Europe's top clubs when it comes to the signature of the 25-year-old, who has been capped eight times by Argentina.
Spalletti said: 'The decision to remove the captaincy from Icardi was hard and painful, absolutely shared by all the club members and taken for the good of Inter.
"Icardi was called up, and has decided not to travel to Vienna", the coach explained to Sky Sport.
The club tweeted: "Samir Handanovic is the new Inter captain".
"The decision to remove the captain's armband from Icardi was hard and painful, because we all know what he is worth to the team", Spalletti told reporters at his pre-match press conference.
"Tomorrow we have a big game, there will be time to clarify things".
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Icardi apparently didn't want to travel as negotiations over a potential new contract became a little complicated following the latest intervention from Icardi's outspoken wife and agent, Wanda Nara.
Sources in Italy say that Icardi's team-mates no longer see him as a captain.
"There are clearly things going on around Icardi which need to be sorted out", Spalletti said.
The former Barcelona academy recruit joined Inter in 2013 from Sampdoria, scoring 122 goals in 208 appearances, with his contract running until 2021.