Obviously a trainer needs time to make what is desired really well implemented, and that will take time.
Talking about Arsenal, the squad they are currently building is good, it's just that they have to give a few touches so they can be even more stable. What they have experienced this season should be a very valuable lesson for them, they must start to overcome and evaluate so they don't feel the same result. The end of the season is a record that they must improve, because from the start of the season they were very stable and towards the end of the season they had to lose something they had been chasing from the start of the season. It is very painful.
But as valuable as that lesson could be, it doesn't mean they can beat Manchester City next season. Manchester City remains the benchmark for everyone else. Even if Arsenal won two more games, I think that Manchester would still have won the title. The 89 points are the result of Manchester City stopping to play at 100% after they knew they would be the Premier League champions. They could have kept the pace and score more points if necessary. Arsenal played an amazing season with 84 points, yet they have to acknowledge that 84 is not enough, which is crazy because of Man City.
With Harry Kane certainly leaving the club it is going to be a lot harder for them to achieve whatever they want to do. A big reason why players are not going to be interested to play for Tottenham they are not participating in the European competition.
Tottenham are always in a bad situation, that's normal for them
As for Kane, it seems that he told his teammates that he wants to move to Real Madrid, but since Tottenham wants absolutely unreasonable money for a not young striker (who has only one year of the contract left), Real doubts the expediency of the purchase. Or did I miss some news?