The Foxes face Crystal Palace in the Premier League on Saturday, three days before hosting Atletico Madrid in a Champions League return fixture.
Captain Wes Morgan remains a doubt for both games due to injury, having sat out their 1-0 defeat to Atletico on Wednesday, while central defensive partner Robert Huth will certainly miss Tuesday's return leg due to suspension.
“Wes trained yesterday [Thursday], not all with the squad, but I’ve said before that he’ll still be 50-50 for Atlético Madrid. He won’t feature against Palace," Shakespeare told pressmen on Friday.
“I need to assess every player. We only had a light training session yesterday for those that played against Madrid and a full training session for those that didn’t.
“I need to see what the injury situation is before I really comment on the team.
“If I think playing Amartey at centre-back is the right thing to do, then I will. Our players are adaptable. Daniel certainly is."
Amartey has largely been deployed in midfield and occasionally at right-back since joining Leicester in January last year.
In the absence of Morgan, Shakespeare turned to Tunisian centre-back Yohan Benalouane for Wednesday's tie, relegating the Ghanaian to the bench.
But the former Kobenhavn man is not in any way new to playing in central defence. At the recent Africa Cup of Nations in Gabon, the Black Star's impressive showing at centre-back earned him a place in the Caf team of the tournament.