Although I known nothing about German, I have to complie some German TeX documents. The German quotation marks "' or \grqq and "' or \grqq in my document are replaced by cmr font and the PDF file is not copyable near the quotation marks. A warning message says
font shape `OT1/TeXGyrePagella(0)/m/n' undefined, using `OT1/cmr/m/n' instead for symbol `glqq' on line 9.
The following is my minimal example:
% !TEX program = xelatex
% !Mode:: "TeX:UTF-8"
\documentclass[12pt]{article}
\usepackage[ngerman]{babel}
\usepackage{fontspec}
\defaultfontfeatures{Mapping=tex-text}
\setromanfont{TeXGyrePagella}
\begin{document}
These are German \glqq quotation marks\grqq.
\end{document}