The Toffees take on Manuel Pellegrini's men on Saturday with the aim of keeping up pressure on the Gunners in the hopes of sneaking into the Premier League top four
City travel to Goodison Park on Saturday looking to chase down Premier League leaders Liverpool, while the Gunners will be hoping that Roberto Martinez's side are beaten in order to ensure that the north Londoners would finish fourth.
Fifth-placed Everton sit four points behind Arsenal with two games remaining of the season but Naismith is determined for them to give their all in pursuit of Champions League football.
|40/1||Steven Naismith is 40/1 with Bet365 to score in a 2-1 Everton win over Manchester City|
"We will definitely be doing all we can but Arsenal have capitalised.
"We will fight to the end but the main thing is that we have got to finish fifth."
Tottenham are a further three points behind Everton and Naismith added that his side have their eyes on the Europa League should their bid for Champions League qualification fall short.
"All we are concentrating on is securing European football," he remarked.
"We would be so disappointed if we couldn't finish in fifth. I think we have deserved it for the way we have played this season and the push we have had for fourth."