PyMySQL is a pure-python database connector for MySQL, and can be used as a drop-in replacement using the install_as_MySQLdb() function. As a pure-python implementation, it will have some more overhead than a connector that uses C code, but it is compatible with other versions of Python, such as Jython and PyPy.
At the time of writing, Django recommends to use the mysqlclient package on Python 3. This fork of MySQLdb is partially written in C for performance, and is compatible with Python 3.3+. You can install it using pip install mysqlclient. As a fork, it uses the same module name, so you only have to install it and Django will use it in its MySQL database engine.