Atletico will be hoping to claim their third Europa League crown after winning the tournament during the 2009-10 and 2011-12 seasons.
"If Arsenal have aspirations to win the league, and are not going to do it by spending, they're going to have to do it by spending less and achieving more".
Speaking on the latest La Liga weekly podcast, Gibson said: "Whereas there will be open and entertaining games between Real Madrid and Bayern Munich, and Liverpool and Roma (in the Champions League), I'm not so sure there will be at the Emirates".
The hosts are likely to need to feed off some positive energy from the stands to build a lead to take to Madrid in a week's time against European specialists Atletico.
ARSENAL face Atletico Madrid in the first leg of their Europa League semi-final on Thursday - but who will start for the Gunners?
Atletico Madrid failed to break down Real Betis in a 0-0 draw on Sunday which further reduced their slim chances of catching Barcelona at the top of La Liga, while Las Palmas were relegated after a crushing 4-0 home defeat by Alaves.
Former Chelsea striker Diego Costa is also unlikely to be fit for Thursday's first leg in London after suffering a hamstring injury earlier in April.
Costa scored four goals in six previous appearances against Arsenal in three years at Chelsea.