"I'm confident that the economy will be able to cope with this decision. Companies are in a far better position than in 2011 when the cap was introduced," she told the SonntagsBlick and Schweiz am Sonntag newspapers.
The Swiss National bank stunned markets on Thursday when it abandoned its three-year-old cap on the franc of 1.20 per euro, saying the policy had become unsustainable.
The move sent the franc soaring, prompting firms across Switzerland to warn of a plunge in profits, with the luxury, industrial and tourism sectors most exposed.
With inflation already running at -0.3 percent year-on-year, Switzerland also risks importing deflation if the franc stays at its high level against the euro.
Hans Hess, president of Swissmem, which represents companies in the machinery, electronic, and metalworking sectors, told the NZZ am Sonntag paper that one-in-five Swiss industrial firms faced an "existential threat."
"The abolition of the cap will cost jobs, but the sector overcame the franc crisis in 2011 and will also cope with this crisis," he said.
The franc broke past parity following the SNB's announcement, hitting a high of 0.8500 francs per euro EURCHF=EBS before trimming gains. On Friday it was trading at a whisker below parity with the euro.
Read MoreSwiss shock: Leucadia bails out FXCM after losses
How much room for maneuver the SNB has could depend on what the ECB announces on Thursday when it is expected to launch a government bond-buying program to revive the economy and combat deflation.
If the ECB exceeds market expectations, investors may pile into the safe-haven franc putting the SNB under more pressure to act.
Some economists and officials said the exchange rate needs to gravitate towards the 1.10 per euro level to prevent potential damage to the economy.
If the currency were to stay at parity for a long time, it would lead to very weak economic growth and rising unemployment, Finance Department Director Serge Gaillard told the Zentralschweiz am Sonntag paper.
SNB President Thomas Jordan said reaction to the decision to scrap the cap had been overdone.
Charles Wyplosz, professor of international economics at the Graduate Institute in Geneva said he believed the SNB may have intervened in the currency markets on Friday to keep the franc at parity with the euro.