Chelsea won 3-1 at Norwich hours after Russian owner Roman Abramovich was sanctioned by the UK government, BBC reported.
"As long as we have enough shirts and a bus to drive to the games, we'll be there and will compete hard," boss Tuchel told BBC Radio 5 Live.
"We take it day by day. I didn't see that coming yesterday and I don't know what is coming tomorrow."
Chelsea fans chanted Abramovich's name during the victory at bottom club Norwich which strengthened the club's grip on third place in the Premier League table.
Tuchel said the off-field developments had proved "another level of distraction".
The German added: "Of course the subject is there, the talks are going on, so there is a certain distraction. The level of impact it has – the news of today is big – in time we don't know how big.
"We cannot influence it."
Tuchel also said he is "still happy" to be manager of the club after Abramovich was sanctioned.
Russian Abramovich has had his assets frozen and his sale of the club has been halted.
The move is intended to stop Abramovich making money from Chelsea.
"I'm not sure I am concerned, but I am aware of it," added Tuchel.
"It changes almost every day. I am still happy to be here and still happy to be manager of a strong team. I know there is a lot of noise around."
Tuchel was appointed Chelsea manager in January 2021 and led the club to victory in the Champions League last season.
He added: "It is quite a big change from yesterday to today but we can't influence it, we didn't cause the situation.
"In the moment, it seems that business, let's say football-wise, is more or less protected, but let's see.
"I feel privileged to have the chance to be involved in games, coaching and football that I love."
‘Approach the government’
Anyone interested in buying Chelsea Football Club can approach the British government and make a proposal, the government said on Friday.
"As the license conditions are written today, the sale would not be allowed," Britain's Technology Minister Chris Philp told Sky News.
"However, if a buyer emerged it would be open to that buyer or to that football club to approach the government and ask for the conditions to be varied in a way that allows that sale to take place."
The government, which has been under pressure to ramp up sanctions on Russian oligarchs, imposed a travel ban and froze the assets owned by Abramovich on Thursday.
The sanctions announcement effectively brought to a halt his recently-announced plans to sell the West London football club, which he had expected to fetch more than £3 billion ($3.93 billion).