The midfielder recently returned from his loan spell in League One.
Samuelsen has spent the majority of this season on loan with the League One and impressed, with one eye catching performance against Manchester United in the FA Cup in particular.
He is now back with the Hammers though, playing 90 minutes for the development squad against Hull on Monday.
His time in the lower leagues has been a learning experience for him and he believes he has improved during his spell away, but admits West Ham is where he wants to be.
“With Peterborough in League One, I’ve learnt the tough side of the game; the physical side, that every game means something,” he told whufc.com.
People are fighting for their lives. It was a good experience for me and I think I’m a stronger person and better player from it.”
West Ham is where I want to be. It’s a fantastic Club. This season has been amazing for me, coming from Manchester City, barely playing games, to where I am now. I can’t believe it.”
Samuelsen will now be hoping he can continue to impress in the youth ranks at Upton Park in order to catch the eye of Slaven Bilic.
The Croatian certainly has no qualms about giving youngsters their chance either, having handed Reece Oxford his first team debut against Arsenal earlier this season.
He impressed, and Samuelsen would be keen to show he can too, although another loan move next season is probably a good bet for him at this stage.