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It would be interesting to know what specific tasks are assigned to Flick, but this is classified information (at least for now). Barcelona cannot publicly admit that they have no goal of winning La Liga (due to their status) so now we can only guess what they want from him. If we draw an analogy with Xavi, last season they expected any two trophies from him (even the smallest one like the Spanish Cup). It seems to me that the target level for him is set as “no lower than second place in La Liga and no less than the quarterfinals in the Champions League + some title.”
I don't know if Hansi Flick will lead Barcelona towards their goals, but he will have to admit it is a difficult task. Real Madrid, the strongest of its rivals, added Mbappe to its squad and is now very strong. Barcelona must show its best performance against Real Madrid and other teams. The road to the championship will be a very difficult road. I think the minimum target should be to finish the league in second place.
Barcelona might be able to achieve success with Hansi Flick, but that can only happen if Madrid experiences a setback. There is no doubt that the addition of Mbappe to Ancelotti fleet makes Los Blancos very tough, it will be very difficult for Hansi Flick to win a trophy in the first season. Financial limitations are the main reason, so before the season starts we can easily predict that Barcelona chances of winning a trophy will be lower than Madrid.
If Barcelona finishes in second place, I think that would still be considered good, where Hansi Flick would be able to match Xavi score. Apart from Madrid, other challenges could also come from Girona and ATM, where these two teams should also be taken into account next season. Moreover, if there are more dark horse teams next season, it will certainly make competition in the top four of the standings even fiercer. Even though Hansi Flick is an experienced manager, with Barcelona current situation, whatever results are achieved I think it can be understood.