The pair are eligible to feature for the Scots through the grandparent rule.
Clarke also addressed reports suggesting Harvey Barnes could change his allegiances to Scotland.
"We want the best players we can possibly get," said Clarke."If they are eligible for Scotland and got a chance to play for Scotland and improve the squad which I have got, which is not an easy thing to do. I get the story around it because we are playing England, you want to speak about Elliot, you want to speak about Harvey, I quite like speaking about the boys we have got. They have put us in a really good position and deserve a lot of credit for that."
On Southgate's comments on Anderson, he added:"We like the player as well. Elliot will still have that choice to make. "When I come out of this camp I will look at what we have done, what we've had, what's occurred over this camp. We will do a debrief and then we will shape what we do from there."
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