The 23-year-old Archer has made a name for himself as a reliable fast-bowling allrounder having played for various T20 Leagues across the globe.
Bayliss hinted that England could again rest some of their big names before the World Cup.
The allrounder, who was born in Barbados, will be England-qualified this month.
Trevor Bayliss and Paul Farbrace hope Pakistan can regularly host international cricket again.
The young Barbados-born fast bowler’s name has been doing the rounds recently, who will be eligible to play for England next month.
England are considering appointing Chris Silverwood as the new head coach replacing Trevor Bayliss who will step down in September.
Farbrace joined the England staff in 2014 after guiding Sri Lanka to the World Twenty20 title that year.
England's coach has not ruled out changes in the top three, however, despite struggles.
The experiment of batting Bairstow at No 3 is over, says England's coach.
England coach Trevor Bayliss was left speechless when asked to explain his team's crushing defeat against West Indies in Barbados.