Iguodala could help Memphis' young core in the meantime with his leadership, basketball IQ and defensive prowess.
The Lakers must receive permission from the Grizzlies to talk with Howard.
"It’s a new beginning, a new journey, a new challenge and I love that," Conley told USA Today's HoopsHype.
Memphis acquired Iguodala from the Warriors in a trade earlier this month.
A man sued Howard in March, claiming Howard had threatened him for not signing a non-disclosure agreement about their alleged relationship.
The 21st overall pick in this year's draft was awarded the summer's MVP award after averaging 14.6 points and 8.6 rebounds.
The Rockets and Clippers are the 6-7 wing's most aggressive suitors, according to Stadium.
Dwight Howard will be playing for his fifth team in five years in 2019-20, but where that will be is still unknown.
The Lakers, Rockets, Mavericks, Clippers and Nuggets are all rumored to be interested in Iguodala.
Chicago has discussed a sign-and-trade that would send Dunn to the Grizzlies in exchange for Holiday, according to the Chicago Tribune.