Leeds United are also looking to snap up Pearce on a free transfer, according to a report in The Sun from last month.
Clement, who was appointed the Derby boss earlier this month following the dismissal of Steve McClaren at the end of the 2014-15 season, has also revealed that he wants to sign Darren Bent on a permanent contract.
The 31-year-old Englishman gave a good account of himself at the iPro Stadium, scoring 10 goals and creating 12 chances in 15 Championship appearances.
Bent is now back at his parent club Villa, where his current contract runs out at the end of the month - which means that Derby will be able to sign him on a free transfer.
Former Real Madrid first-team coach Clement has also revealed that he wants to recruit Andreas Weimann from Villa.
The 23-year-old Austria international attacker has a year left on his current contract with the Villans.
“All those three are possibilities but no more than that at this stage,” Clement told The Derby Telegraph when asked about the trio.