Tottenham left winger Bale and Arsenal midfielder Nasri are the favourites to land the award for their early season performances.
Also nominated are Scott Parker, Rafael van der Vaart, Charlie Adam and Carlos Tevez.
Nemanja Vidic also makes the shortlist.
What is your opinion? Feel free to discuss the article under. You have to comment by using your Facebook profile. Be fair and have respect for other people and opinions!
Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.