I highly doubt Madonna has the original (with one caveat).

Le Figaro said that a museum curator spotted the painting in an image of the inside of Madonna’s home published by Paris Match, a weekly magazine, in 2015. It had long been considered untraceable — or even destroyed in the war.

The newspaper noted, however, that the painting lacked a signature and a stamp. It also reported that the dimensions of the original painting and the one that was sold differed by about 3 centimeters, or 1.2 inches. (Washington Post)

If Madonna has the original it is not displayed for public viewing (it probably is in a secured area). If the latter is the case, I doubt she will loan it out.