According to the report, the Arsenal hierarchy made "preliminary inquiries" with Rodgers, but the answer was negative.
Having lost defensive lynchpin Harry Maguire for around £80 million (RM431 million) to Manchester United, his understudy Soyuncu has seamlessly slotted into the back line and has played every minute in the league this season.
"We have lots of attacking threat and we're putting it all together".
Talk of a title challenge this season may be premature, with leaders Liverpool eight points clear of the Foxes, but Rodgers' miserly defence has laid the foundations for a top-four finish. I think he would take the Arsenal job.
For me, at this moment, we've had a brilliant win today. OK, I moved after almost three years at Celtic and people may look at me thinking: 'Right, because a club like Arsenal, with the great institution and size, and all of that ...' I absolutely love it here. Names will get thrown right, left and centre.
Ljungberg insists he had witnessed a number of "positive things" in Arsenal's 2-2 draw with Norwich on Sunday, but numerous mistakes that cost Emery his job were repeated at Carrow Road. For a manager to say "yeah I have a buy out clause" a lot of managers have a buy out clause.
"If he moved now, he would get that tag of jumping ship very quickly".
"I don't think it's right if Brendan Rodgers is even thinking about moving to Arsenal right now", he said on Sky Sports. The objective was very clear in that I wanted to help this club move forward out of where it was when I came in, and looking to lead it forward with a group I feel has huge potential. I think he's got to look at the next 18 months and think he's really going to do something at Leicester.
Arsenal are weighing up replacements for Emery after placing Freddie Ljungberg in charge on an interim basis.
It has been claimed that Rodgers is keen to manage one of the so-called big six again at some point in the future, but he will not leave Leicester now.
Massimiliano Allegri is still the bookies' favourite to become the next permanent Arsenal manager, without a club since leaving Juventus in the summer.