"If he wants to go and they (the board) want him to go, he's not going to get any opposition from my office."
Mr Ryall said whether or not Dr Elder appeared "is a matter for the committee, Solid Energy and Dr Elder and I don't have a problem either way".
Mr Young said he thought it likely Dr Elder would accept the committee's invitation if it was issued.
"I'm pretty sure that he'd be keen to put his side of the story."
Dr Elder headed Solid Energy for 12 years, but resigned on February 4. A fortnight after his resignation the Government revealed the company was carrying $389 million in debt and was in talks with bankers and Treasury.
This week it emerged that Dr Elder is still being paid his old salary of $1.3 million a year to work from home for a two month period.
At Solid Energy's annual financial review before the committee, current chairman Mark Ford said it was unusual for former chief executives to appear, but he would not stand in the way of Dr Elder doing so.
Mr Young said it was Solid Energy's call that Dr Elder didn't appear this week.
Meanwhile, Labour state owned enterprises spokesman Clayton Cosgrove yesterday said he would write to Mr Young to request an inquiry into Solid Energy's problems but Mr Young last night said it was too early to consider that. "Let's take one step at a time ... let's just see what Dr Elder has to say and have discussions around an inquiry later on."
Mr Cosgrove said he understood Dr Elder was paid out $1.5 million in addition to his annual salary of $1.3 million.