The 25-year-old enjoyed one of his best displays so far this season during Saturday's 3-0 win over Shrewbury- Richardson's first match in charge- and also notched up his first goal of the current campaign.
And he believes similar scenes can be repeated if his team-mate is keeps the player-manager job he currently occupies.
"There is no question that he already had the respect of everyone here," Bolland told the NEP.
"The lads in the dressing room respect him and I don't think there was ever any doubt we would play for him.
"He has always been committed and determined. You always knew what to expect and what he would be like when he took over.
"All he asked from us is to be committed, to give our all, which is what he has always done for the club.
"And I think that is what we gave him on Saturday.
"It is still early days, but I am sure Richo will be hoping to get the job long-term.
"Hopefully, if we can continue to perform well that might happen."
Magpies' chief executive Patrick Nelson yesterday stated that Notts' board would not actively talk to possible replacements for Mills, meaning Richardson is currently in pole position to remain in charge.