The Toffees have expressed a desire to start gatecrashing the top four on a regular basis, and after the arrival of new investor Farhad Moshiri they now have the financial strength to compete with most of their Premier League rivals.
At the moment, Everton are in 12th place in the Premier League table, but Pienaar is optimistic for the future at Goodison Park.
“Yes, I do believe that the team can qualify for the Champions League,” he said. “We have a good, young team and hopefully in the next two or three years we can break into the top four.”
Everton have badly underperformed this season, and their place in the bottom half of the table does not reflect the quality in their squad.
The likes of Ross Barkley, Romelu Lukaku and John Stones are all regarded as some of the finest players in England.
Martinez is now under serious pressure, with many fans actively calling for him to be sacked.
Everton supporters are frustrated at their side’s failure in the Premier League this term, but if they are able to win the FA Cup that should buy the Spanish manager some time.