Rangnick does not expect Tierney, who has been linked with moves to the likes of Everton and Manchester United, to follow in their footsteps, however, as he believes that his side can not afford to recruit any of Celtic's three young stars.
Dedryck Boyata is already suspended and Brendan Rodgers may now be forced to field a makeshift pairing at the centre of his rearguard against Hearts, with Jack Hendry and Filip Benkovic his only fit options. If Rodgers overlooks Compper and fellow defender Anthony Ralston - and there's a good chance he will - Emilio Izaguirre could be his only defensive back-up.
"That's the positive", Rodgers said. He took an awkward landing when he jumped for the ball. Unfortunately Boyata, who I thought was outstanding tonight, won't be available at the weekend.
"We are not interested in them though - because we don't have the kind of money needed to invest in those players!"
"We have one or two issues but it's OK, we have a number of young players who have been training very hard and working hard to have the opportunity to play".
"This season we have been getting towards that in the last couple of games and domestically we have been very good".
'Their goal knocked us a little bit and then they got the second goal but we regrouped again and changed our shape.
In terms of substitutes, Rodgers has back-up goalkeeper Scott Bain, Izaguirre, wingers Jonny Hayes and Lewis Morgan, and one of Christie or Sinclair depending on who gets the starting berth.
It was always going to be tough for the Scottish champions, who had not previously won away from home in 13 Europa League group games and never in Germany.
'We have to look to the next game at home and look to win that - if we don't it becomes really hard.
Former Celtic striker John Hartson reckons Brendan Rodgers will spurn the advances of Premier League clubs if they offer him the chance to work South of the border again.