The European Commission's ruling that Apple must pay back taxes to Ireland is going to scare investors away from the European Union, former U.S. Commerce Secretary Carlos Gutierrez told CNBC on Tuesday.

"The big problem here is not what it's going to do to Apple. Apple is going to survive this. It's what it does to the investment climate in the EU at a time when they desperately need investment," he said in an interview with CNBC's "Power Lunch."