The Braunschweig coach was cryptic about his future at the press conference that followed a 4-0 home defeat to Stuttgart.
It was the league newcomers' sixth reverse in seven games, the other being a draw, and Lieberknecht appeared to intimate he had brought the club as far as he could and that perhaps it would be best for him to pass on the baton.
"I took over at this club in 2008 when it was practically at rock bottom and now we're in the Bundesliga and I'm trying to find solutions, but many things that I try are not bearing fruit," Lieberknecht told Sky.
"These defeats are hard to take. It's hard to spread optimism and a setback like this makes me think."
That reaction, according to Arnold, "is only human" and did not mean Lieberknecht was preparing to raise the white flag.
"There is no discussion about the coach," Arnold added. "It is only human that he asks questions of himself, but it's a far cry from thinking about resigning.
"He has nothing to blame himself for. It did him good to sleep on it for a night."
Lieberknecht led training as usual the morning after his side's latest setback, which left them four points adrift of safety and on course to emulate the dismal season Greuther Furth endured in the top flight last year.