A controversial defeat to Manchester United in the final round saw Villa pipped by Newcastle United for the final qualifying place.
McGinn told BirminghamLive: “There will be a tinge of jealousy watching the Champions League this year, but our aim is to go as far as we possibly can in the Europe League, try to get back into the Champions League, which helps the club not only for next season and for many years moving forward.
“We have seen the impact it has now. I don’t know any details about that, but you don’t have to be clever to realise that if you want to compete with the big boys, there are rules which are pretty much unfair if you ask me.
“We have got owners who want to invest in the team and want to spend to kick the club on, but they are not allowed to do it. It’s tough to see. The rules are similar for a lot of the clubs.”
He added: “I think it (being at a disadvantage) unites everyone, the manager and the players. It's the same for every supporter that they want a new toy. When you’ve not got them in the summer, you think, ‘oh, where are they’. But then you realise that we are actually alright here.
“We just signed Bouba (Kamara) on a new long-term contract, and he is one of the best midfielders in Europe. We have held onto some big players. It’s not all doom and gloom. We are positive going into the new season and make it a special one.
“Ever since the manager has come in, we have achieved something which we haven’t done before. He is as motivated as us to do the same.”