Lampard’s side managed to eke out their first win of the league campaign before the recent international break by beating West Ham United thanks to Neal Maupay’s finish.
That saw Everton climb up to 13th place in the Premier League table and they now visit 14th-placed Southampton on Saturday looking for back-to-back wins.
Tarkowski believes that he has made a decent start to life at Everton after his free transfer from Burnley in the summer and lauded his new team-mates as well as the staff for the positive atmosphere surrounding the Toffees.
The 29-year-old centre-back added that he was proud to be part of the Everton squad as they look to build something special, while noting there is still work to be done if they are to either sustain their current levels or go up a few gears.
“I feel like I’ve started pretty well here at Everton. The team is playing well and that can only benefit me”, Tarkowski told Everton’s official website.
“There’s a great group of people here – lads on the pitch and people in the background. There is a real positive environment here.
“Everyone is looking up and looking to the future and we are excited about where this team can go.
“I’m proud to be a part of it. There is still a lot more to come from this team.
“We’re showing the start of something good here but we need to keep developing – that’s with the ball, without the ball, on the training pitch and on matchdays.”
Tarkowski has featured in all seven of Everton’s league games so far and helped his side to a pair of clean sheets at Goodison Park, against Liverpool and West Ham, in their last games before the international break.
