With Pulisic arriving and some of the club's young players signing long term deals at the club, Lampard believes the team is well equipped to compete on all levels next season.
"I know the club very well, I know the players very well".
Lampard is a big fan of the utility man and he tried to sign him on loan for Derby last season.
"I really wanted to work with Ethan this year".
The Manchester United defender was recently handed a new deal at Old Trafford and is now on the club's pre-season tour of Australia.
"I think I have inherited very good players".
"The idea that he could play a lot of games somewhere is good for him and we haven't brought him here while that is up in the air".
Chelsea are not able to register new senior players due to the two-window transfer ban imposed by Federation Internationale de Football Association in February and upheld in May after the governing body found them guilty of breaching rules related to the signing of players under the age of 18. I am very happy with the squad and determined for us to be successful.
Chelsea are now on pre-season tour preparing for the 2019/20 Premier League season and also the Champions League in which they beat St Patrick's 4-0 last Saturday.
But one star that is unlikely to play much at Stamford Bridge this season is Ampadu, who was left out of the squad for Japan. "And when we have the ball, I want us to create chances to win games and to feel like we playing a football that we enjoy".
"I don't care about age, I just care about performance and how people train".
Lampard is clearly impressed by the talent of the young players he has brought on tour, but the former Derby boss is refusing to give any of them an easy ride.
Ampadu has been attracting interest from Aston Villa where he would be reunited with former Chelsea captain John Terry. The other promoted teams make interesting options too, although they perhaps don't have such progressive managers as Dean Smith.
Chelsea play J-League champions Kawasaki Frontale in Yokohama on Friday and then face Barcelona in Saitama next Tuesday.