They tried hard to secure Hudson-Odoi on a loan, or a loan with an obligation to buy, deal.
"There are transfers that come to the point where you have to say: 'We have to leave this immediately'," Salihamidzic told Sport Bild.
"It is all the more important that one thinks about alternatives or alternative paths right from the start.
"We negotiated with Chelsea but there was no agreement. That happens."
He added: "(Hudson-Odoi) is one of the greatest talents in that position.
"He can play wide and as a No. 10 so it's entirely legitimate that we at Bayern Munich are interested in him."