Woodman is keen to go on loan to a League One outfit this season in order to further his development.
Under-20 World Cup winner will spend the remainder of the 2017-18 campaign on loan at Craven Cottage.
Former Spain U21 striker spent last season on loan at Deportivo La Coruna.
Wilshere is playing for Arsenal's Under-23s as he edges closer to full fitness.
Kenedy is not in the manager's plans for the upcoming campaign.
Deals for Lucas Perez, Kieran Gibbs and Sandro Ramirez thwarted due to wage demands.
Agent Rodrigo Fernandez Lovelle urges the Gunners to consider latest €12m offer.
Goals from Dele Alli and Ben Davies sealed win after Jonjo Shelvey was sent off.
First-choice forward has trained all week after not featuring in final two pre-season friendlies.
Kenedy will become Chelsea's 33rd summer exit and 37th transfer overall.
Rafael Benitez unhappy with the club's summer business, but insists he will not quit St James' Park.
Perez made just two starts in the Premier League after joining Arsenal from Deportivo last summer.
Magpies have signed six players but Benitez wants more reinforcements before the end of the summer.
McCarthy and Lennon have both been linked with moves away from Goodison Park.
Micky Quinn meanwhile demands the club splash out on three new players before window closes.
Gunners' boss Arsene Wenger says Perez will leave north London this summer.
Mauricio Pochettino says full-back will be assessed on Monday after limping off during pre-season victory.
Gunners paid €21m to sign the Spaniard from Deportivo La Coruna last summer.
England Under-17 defender, also linked with Southampton, has signed a three-year contract at Goodison Park.
Judge said after said the billionaire made his now infamous £15m offer "everyone laughed".
Spaniard played in the Bees' pre-season friendly win against Oxford United on Wednesday (19 July).
Rafael Benitez wants both wingers before the season starts in August.