Costa has been involved in an ongoing transfer saga with Chelsea, with Conte informing him he is no longer needed by the club.
Chelsea lost their first match of the season to Burnley 3-2, with Morata scoring one and assisting another.
“When I look at his quality, he has had fantastic experiences at the clubs that he has been at,” he told Goal. “He has always scored goals, his movement is excellent. He does a lot of hard work before the ball comes to him. He is always aware of what’s around him.
“The timing of his run for that Willian cross [against Burnley] was great and how he kept himself onside. He got a run on the defender and it was a confident header. He has plenty of ability and attributes.
“It will have done him a world of good to get off to such a fantastic start but as for him replacing Diego Costa, it is a big task. Costa scored 20 goals last season and 20 goals three seasons ago when Chelsea won the title then as well.
“Costa is a very adaptive player who is versatile and holds the ball up well. It is a real shame to see what’s happening there because he is a really good player. It is a disappointing situation to see it get to where it has.
“I think over time, Morata, if he continues to do what he did, will settle in and lead the line very well.”