Answered by: Maulana Muhammad Asadullah Anwar Adam
Can salat be offered with shoes on?
In the name of Allah, the Most Gracious, the Most Merciful
Sa`id Abu Maslama narrated: I asked Anas (bin Malik), “Did the Prophet (ﷺ) use to offer the prayers with his shoes on?” He said, “Yes.” 
So it is allowed providing it fulfils two conditions:
1: The shoes must be clean.
2: The feet must be connected to the ground, whether in shoes or otherwise because this is a fardh aspect of sajdah.
Only Allah knows best
Written by Maulana Muhammad Asadullah Anwar Adam
Checked and approved by Mufti Mohammed Tosir Miah
Darul Ifta Birmingham
 Sahih Bukhari hadith 5850
 Hidayah page 171, volume 1, Maktabul Bushra Print
 Hidayah volume 1, page 203, Maktabul Bushra Print