Gary Megson was sacked as Wanderers boss last week after a two-year spell in which he endured a fractious relationship with the club's supporters.
Burnley manager Coyle is the bookies' favourite to replace Megson, with reports saying Bolton have made an official approach. Coyle is to make a decision today and could take the job as early as tomorrow.
Grateful: Gary Cahill paid tribute to axed Bolton boss Gary Megson but admitted he would be pleased to see Owen Coyle take over.
Cahill, who scored Bolton's third goal in a comfortable victory over Lincoln, believes the appointment of Coyle would help win over the supporters, saying: 'If it is him and the fans like him, that will be good. We will just wait and see.
'It is not a case of rushing. We must get the right man. In football you have got to try and get it right.'
Cahill, 24, owes a lot to former boss Megson, who bought him from Aston Villa for £5million in January 2008. The defender acknowledged his debt to Megson, saying: 'If you look at where I have come from when I first joined the club, I am probably the fifth-choice centre back for England with years in front of me. So I appreciate everything he has done for me. I am definitely a better player than when I first came here.
'It is never nice when people get the sack. I suppose it depends if you were in favour of that manager but I played a lot under him and he took a chance and paid a lot of money for me at that stage of my career. I would like to think I have repaid him in a way but I am grateful for what he has done for me.'
With temporary managers Chris Evans and Steve Wigley in charge, Bolton were held until half-time by Lincoln, but the game changed in the space of two second-half minutes.
First, Moses Swaibu deflected Matt Taylor's cross into his own net in the 49th minute, then 90 seconds later Chung-Yong Lee sidefooted home Ivan Klasnic's cut-back. Cahill's header and a tap-in from substitute Mark Davies completed the scoring.
Lincoln are third from bottom in League Two but manager Chris Sutton can take heart from the way his side stuck to their task at the Reebok.
He said: 'In the last month we've shown we're going the right way and the players are showing the courage to take the ball and that's all I can ask. If we carry on the way we're going, we'll be fine.'
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