The error message is actually pretty clear here:
"""
error: could not create
'/opt/python/3.4.2/lib/python3.4/site-packages/__pycache__/cython.cpython-34.pyc':
Permission denied
"""
It's not a Cython problem but rather a problem with the way you try to
install the packages into the global Python runtime. You should use a
virtualenv instead, as you do for Python 2.7.
Also, for test builds, I recommend installing Cython with the option
"--no-cython-compile", i.e. as plain Python package. That will speed up the
install time considerably.
Stefan