Moyes is credited with getting the best out of £25m forward Marko Arnautovic.
Moyes took over at West Ham in November with the club in the relegation zone. I don't know if anybody can come and make that big a difference in six months.
But the £24 million rated midfielder, as reported by Calcio Mercato, was very coy over his future when asked whether he would stay with West Ham. We will meet and talk I think this week. We haven't arranged a date or a time. "I'd like to change things but maybe not everyone is happy with change".
As Sportsmail revealed last weekend, Moyes was nearly certainly taking his last game in charge of the London club when he guided them to victory against Everton on Sunday.
"I'd think you'd need to give a bit longer".
United Kingdom ministers have no answer on European Union trade, says Carwyn Jones
It would see Britain collect tariffs on behalf of Brussels on goods from non-EU countries set to be re-exported to the continent. It would see the United Kingdom operating as an external border for the European Union and levying its tariffs on its behalf.
"I'm still not sure the supporters have taken to him, but you can see - especially yesterday - there's a real base there".
But the former Manchester United manager has experienced difficulty getting to grips with the club.
"What I'm being told is that if they part company with David Moyes, the kind of names they would be looking at to replace him would be Rafa Benitez and also Manuel Pellegrini".
Moyes' opposite number Sam Allardyce spent just three and a half minutes summarising his thoughts on the game to reporters, and rebuffed questions about Wayne Rooney's future amid rumours the former England striker is set to join DC United in MLS.