The talented right-hander has already signed with Kentucky and had moved up and down the mock draft boards over the past few months. He was listed as high as the 50th pick overall on one draft board earlier this week.
"This has been a great experience but I must admit that I'm glad it's finally over," Cooper said. "Pittsburgh told me that they really liked me and wanted to see me pitch soon. I'll work out for them and see if anything develops.
"I put a dollar figure out there knowing that if I didn't sign for that 'X' amount that I could still go to college and get my education and play at Kentucky."
He had a very successful senior season for the Golden Eagles, posting a 7-1 record with a 1.47 ERA. He had five complete games with 80 strikeouts and only 22 hits over 48 innings while holding opponents to a .139 batting average.
Cooper features a low-to-mid 90s fastball.
"They're going to come and see me pitch and if they like what they see and can come up with some money, we'll see what happens," Cooper said. "This is a business and I've learned a lot during this process."
If Cooper decides not to sign, he will be eligible to participate in the draft again in two years.
He was recently selected as The Tennessean's Mid-State Player of the Year.