Glasner was named the new Nottingham Forest boss earlier in the summer with the task of bringing some stability following a chaotic 2025-26.
The former Crystal Palace boss got his tenure underway with a home defeat to Leeds United, thanks to a late Anton Stach free kick.
Forest have had a fairly quiet summer transfer window so far, with Ousmane Diomande the only player coming in for a fee.
Speaking to reporters after the narrow defeat, Glasner made it clear that he would like the club to make two more signings before the end of the window.
"We've been planning for weeks," said Glasner.
"We know exactly what we want to do. It doesn't make sense talking names or positions, because we haven't finalised the deals.
"But I'm really confident that it will be two at the end."