The former Trinidad and Tobago international has been appointed as first-team development coach to assist Under-21 manager Alan Stubbs as part of Martinez's new-look coaching team.
"That's the way Roberto has always worked," Lawrence told evertontv when asked about his new role. "He believes that in order to have continuity and to be able to develop players, the players need to be working similarly to the first team and the coach needs to have an idea exactly what the manager is looking for and exactly what the first-team work is like.
"You're not saying that you're then going to go and do the exact same thing but at least you're working in the same footballing philosophy.
"I'll be doing the same role I had at Wigan. I'll be working around the first team and in terms of the Under-21s - Alan Stubbs is obviously the manager - but I will help Alan in whatever way possible."