Haas confirmed on Thursday that both Magnussen and team-mate Romain Grosjean will leave the at the end of the 2020 campaign.
Magnussen, who is only 28, said he would not give up hope of landing another F1 seat.
He has entertained the prospect of moving to IndyCar but believes that is a difficult goal to achieve for 2021.
“I would say I’m very open at the moment to anything really,” said Magnussen. “I feel that I have more to bring in Formula 1. I’m only just 28 years old and still feel that I have more to give in F1, but we’ll see.
“There’s not a lot of seats left and I really miss winning, I miss the feeling of winning races and that’s kind of really something that I’ve started to think about quite a lot recently, how much I missed that.
“IndyCar has been something that I’ve been interested in always.
“My dad was an IndyCar driver back in the 90s and I’ve been to IndyCar races with him as a small child. I just always thought it was super cool and I would love to have a go in that sometime.
“But at the moment I think even outside of F1 the whole motorsport world is hit by the times that we have this year, and it doesn’t look easy to get good deals over there.
“So we’ll see. I’m not saying no to to it at all, and not saying it’s impossible, but it looks slightly difficult.”
Magnussen made his Formula 1 debut in 2014 for McLaren and returned to the grid in 2016 with Renault after spending 2015 on the sidelines.
He moved to current team Haas prior to the 2017 campaign.
“I would say that I’m very open to anything at the moment,” Magnussen said.
“For sure, I feel that I have more to bring in Formula 1. I’m only just 28 years old and I still feel I have more to give in F1, but we’ll see.
“There’s not a lot of seats left. I really miss winning, I miss the feeling of winning races, and that’s kind of really something that I’ve started to think about quite a lot recently, how much I miss that.
“We’ll see where that opportunity is and what comes my way. And then I’ll take the decision sometime.”
With the decision coming late in the season and very few F1 seats up for grabs, Magnussen affirms it doesn’t change anything for him as he has been assessing his options for some time.
“I’ve been kind of thinking about options for a while, so it didn’t change a lot once Guenther [Steiner] told me that they were going to look for other drivers,” Magnussen said.
“So it doesn’t matter really. I would have considered it very seriously if I was offered something from Haas, but I’ve been looking elsewhere for a while.”
MAGNUSSEN OPEN FOR INDYCAR BUT HE BELIEVES IS A DIFFICULT MAGNUSSEN OPEN FOR INDYCAR BUT HE BELIEVES IS A DIFFICULT
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F1 2020 NEXT RACE
|12:00 - 13:30||Free practice 1|
|16:00 - 17:30||Free practice 2|
|12:00 - 13:00||Free practice 3|
|15:10 - 17:10||Race|