The bottom six have English managers and the top eight do not.
Is it because only the big clubs can afford top managers and if so why are there no top English managers ?
When did an English manager last win the top division title ?
decided to have a look at the premier league to fully understand your post
the top 10 includes
Pep, Klopp, Mourinho, Ancelotti who have won the lot - makes sense as we are the richest league on earth
Tuchel is an up and coming manager, might be in place for 1 year or join the top table if he performs
Solskjaer is an anomaly as he was a short term appointment who's ended up being decent. In fairness 25 of his 31 seasons in football have been in English football.
Likewise Smith (the only Englishman), Rodgers and Moyes are outputs of the English game really at 3, 7 and 9
Artetta is a bit of a Tuchel but has been in England for 15 years of his career.
the bottom 10 has 7 Englishmen, of whom Sam and Roy have had a go at the top table and been sacked. If Southgate fails, it will be interesting to see what the short list to replace him looks like.
If it's an Englishman, Lampard or Gerrard are probably favorites but without any success in EPL.
Sam and Roy have already been there, leaving Dyche, Smith, Parker, Bruce and Wilder as the other EPL managers, for now
Things aren't much better in the championship - Woodgate is the highest ranked English manager in 7th, followed by Neil Warnock.
Conclusion - English football managers are pretty shit for reasons that I Don't really understand - perhaps a bit insular?