It might be questionable for Trump to do so as Pope Leo loathes Trump’s policies and is on record on his opposition.
Trump I believe wanted Archbishop Dolan to get the nod.
But yeah he will probably claim credit.
In some ways I view the pick as a rejection of Trump.
It will be interesting to see if American catholics wake up with respect to Trump. I believe they broke slightly for Trump in the recent election. Of course it’s all quite complicated.