The 22-year-old restricted free agent forward remains home in Finland and won't be with the Avalanche at the start of training camp on Friday.
"I have to admit I'm having [a] kind of wait and see feeling, but I just need to stay calm," Rantanen told the newspaper on Monday. "There's no need to panic. I was prepared to stay in Finland longer than usual. So I was ready for this, and it is no shock for me to still be in Finland.
"We're slowly moving forward but I have no schedule and I can't say anything about the state of the negotiations."
Rantanen had an NHL career-high 87 points (31 goals, 56 assists) in 74 games last season, second on the Avalanche behind center Nathan MacKinnon (99 points; 41 goals, 58 assists), and 14 points (six goals, eight assists) in 12 Stanley Cup Playoff games for Colorado, which lost to the San Jose Sharks in seven games in the Western Conference Second Round.
"For four years now, I've usually left for North America around the end of August," Rantanen said. "All other NHL players, who also practiced in Turku [Finland], have already left, so in that sense it's a little weird feeling to be still in Finland at this time."