The veteran coach has received offers from the United States and England as he nears the end of his tenure at Hunky Dory's Park
The Drogheda United board recently announced that the 62-year-old would not have his contract renewed at the end of the season, stating that their visions for the future of the club diverged.
Speaking at a promotional event ahead of the EA Sports Cup final against Shamrock Rovers which takes place on Saturday, Cooke explained that since then, he had been contacted about a job in MLS as well as an offer to work with a Championship club in England.
"It's amazing the calls I've had," he told reporters. "An agent has contacted me about a job going in the MLS and another in the league below that in America.
"I have also been asked if I would be interested in an under-21 coaching job with a Championship club in England. My preference is to stay with Drogheda, though."
He continued: "I have no issues with the club, but I got a list of issues off them and replied to them. I am an open-minded man. I will speak to anyone if they want to speak to me. I want to stay."
Meanwhile, EA Sports have announced that they have extended their sponsorship of the League of Ireland Cup until the end of 2015.
Drogheda United take on Shamrock Rovers in the final of the EA Sports Cup at Tallaght Stadium on Saturday September 21. Kick off 18:00 BST.