The 35-year-old was born in Wallsend before starting his career at West Ham.
Sunderland are rooted to the bottom of the Premier League and north-east neighbours Middlesbrough are also battling to stay up, while Newcastle look set to secure a swift return to the top flight.
Carrick said in an interview with MUTV: "It is such a football-orientated place that if a team, for example Newcastle, are doing well then the whole place is buzzing and when they're not, there is that down feeling around the place. It really does dictate the feeling in the north east.
"The passion for football is what stands out, it's incredible up there. Personally, I would like to see the teams back up again and the place bouncing again and there's a really positive atmosphere because it's a great place when the teams are doing well."
Carrick added: "It is important, particularly for the vibe of the area. It's such a football-orientated region that it's so important to have a team in the Premier League and a team doing well.
"As it is at the minute, Sunderland and Middlesbrough are finding it tough in the Premier League and Newcastle aren't quite in there yet.
"It's been a bit of an up and down time for the three teams over the last few years and it's not been often that all three have been in the Premier League at the same time."
Read the full article on eurosport.co.uk: Michael Carrick looking to prosper with Manchester United on familiar ground