[nvm0n2]

The Commission President has a de facto (not de jure) veto power over who the member states nominate so in reality the Commission is selected by its President.

The President is in theory selected by the Council (leaders of the member states), but in practice the whole process is secret so nobody knows how it happens. Certainly the Commission often ends up with extremely dubious Presidents where nobody can explain on what merits they gained that position.

And then the selection of both President and Commissioners is supposed to be ratified by the Parliament but last time they were given a vote with a single option on it. You could either support vdL or abstain. And it's not a real Parliament anyway so nobody with any political ambition actually runs for it, it's a joke chamber made up of yes-men and people who think their countries should leave the EU entirely. Even Juncker didn't take it seriously.

So nothing about the Commission relies on elections.