Andy Robinson, John Welsh, Ian Goodison, Ash Taylor and player of the year David Buchanan have all been offered deals for next season.
Boss Ronnie Moore told the club website: "It's up to the players if they take the offers but I'm not going to hang about.
"I'll probably give them a week because I can't mess about.
"If they want to be here let me know. If they're not happy with the offer come and tell me what they will be happy with. If it's too much they can go, if it's not we'll get it sorted."
The club are also taking up one-year options on Lucas Akins, Adam McGurk and young player of the season Danny Holmes.