Ten Hag spoke to club media before the match, and was asked about Sabitzer, who he has already said will be in his squad today.
Varane also retired from international football this week, which will allow him to focus on United and should help with his fitness record too.
The Dutchman was keen to praise the duo, who may well both be in his starting lineup for a second meeting with Palace within a couple of weeks.
Ten Hag hails Sabitzer and Varane
On Sabitzer, Ten Hag said: “He is a determined football player with a really good attitude and [at] many clubs he was also captain, so he is also a leader.
“He is a really good player who brings a winning attitude and I think for that it is a perfect signing. We are really happy with him.”
When asked about Varane, Ten Hag added: “‘He is magnificent. I don’t think you can find a player in the world who achieved the same as Rapha Varane did for his nation.
“He was great, but also at Real Madrid too in club football. [For his nation] he was also successful and as a club footballer he is successful. Now he prefers only to do it as a club footballer and we, here at Manchester United, hope to get the benefits from it.”
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Sabitzer looks a good quick signing to deal with the injury to Christian Eriksen which is going to keep him out for a period of months.
Scott McTominay and Donny van de Beek are also injured right now, with the latter out for the season, so we need Sabitzer to hit the ground running.
He is more than capable of doing that, and is an experienced, versatile player who is in the prime of his career and should have a point to prove to Bayern Munich.
Varane’s lessened workload should help a player who has had injury problems down the years, and it would be great if him and Lisandro Martinez can play as often as possible at the heart of the United defence.